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1071134120 = 2357419587
BaseRepresentation
bin111111110110000…
…011010110101000
32202122112020210002
4333312003112220
54143202242440
6254142042132
735354330000
oct7766032650
92678466702
101071134120
114aa699a11
1225a879348
13140bb4c94
14a2387000
1564083115
hex3fd835a8

1071134120 has 160 divisors (see below), whose sum is σ = 2964578400. Its totient is φ = 347324544.

The previous prime is 1071134117. The next prime is 1071134123. The reversal of 1071134120 is 214311701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1071134117) and next prime (1071134123).

It is a super-2 number, since 2×10711341202 = 2294656606056348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1071134092 and 1071134101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071134123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1824467 + ... + 1825053.

It is an arithmetic number, because the mean of its divisors is an integer number (18528615).

Almost surely, 21071134120 is an apocalyptic number.

1071134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482289200).

1071134120 is an abundant number, since it is smaller than the sum of its proper divisors (1893444280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1071134120 is an equidigital number, since it uses as much as digits as its factorization.

1071134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1071134120 is about 32728.1854064658. The cubic root of 1071134120 is about 1023.1703612366.

Adding to 1071134120 its reverse (214311701), we get a palindrome (1285445821).

The spelling of 1071134120 in words is "one billion, seventy-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 392 490 532 587 665 686 760 931 980 1064 1174 1330 1372 1715 1862 1960 2348 2401 2660 2744 2935 3430 3724 4109 4655 4696 4802 5320 5870 6517 6860 7448 8218 9310 9604 11153 11740 12005 13034 13720 16436 18620 19208 20545 22306 23480 24010 26068 28763 32585 32872 37240 41090 44612 45619 48020 52136 55765 57526 65170 78071 82180 89224 91238 96040 111530 115052 130340 143815 156142 164360 182476 201341 223060 228095 230104 260680 287630 312284 364952 390355 402682 446120 456190 546497 575260 624568 780710 805364 912380 1006705 1092994 1150520 1409387 1561420 1610728 1824760 2013410 2185988 2732485 2818774 3122840 3825479 4026820 4371976 5464970 5637548 7046935 7650958 8053640 10929940 11275096 14093870 15301916 19127395 21859880 26778353 28187740 30603832 38254790 53556706 56375480 76509580 107113412 133891765 153019160 214226824 267783530 535567060 1071134120