Search a number
-
+
1070656840 = 2351119831543
BaseRepresentation
bin111111110100001…
…110110101001000
32202121122000002001
4333310032311020
54143042004330
6254123520344
735350301341
oct7764166510
92677560061
101070656840
114aa3a3370
1225a6890b4
13140a78976
14a22a10c8
1563edb9ca
hex3fd0ed48

1070656840 has 128 divisors (see below), whose sum is σ = 2801433600. Its totient is φ = 364158720.

The previous prime is 1070656837. The next prime is 1070656849. The reversal of 1070656840 is 486560701.

It is a super-2 number, since 2×10706568402 = 2292612138077571200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070656840.

It is not an unprimeable number, because it can be changed into a prime (1070656849) 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 31 ways as a sum of consecutive naturals, for example, 693109 + ... + 694651.

It is an arithmetic number, because the mean of its divisors is an integer number (21886200).

Almost surely, 21070656840 is an apocalyptic number.

1070656840 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 1070656840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400716800).

1070656840 is an abundant number, since it is smaller than the sum of its proper divisors (1730776760).

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

1070656840 is a wasteful number, since it uses less digits than its factorization.

1070656840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 1070656840 is about 32720.8930195983. The cubic root of 1070656840 is about 1023.0183692837.

The spelling of 1070656840 in words is "one billion, seventy million, six hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 83 88 95 110 152 166 190 209 220 332 380 415 418 440 664 760 830 836 913 1045 1543 1577 1660 1672 1826 2090 3086 3154 3320 3652 4180 4565 6172 6308 7304 7715 7885 8360 9130 12344 12616 15430 15770 16973 17347 18260 29317 30860 31540 33946 34694 36520 58634 61720 63080 67892 69388 84865 86735 117268 128069 135784 138776 146585 169730 173470 234536 256138 293170 322487 339460 346940 512276 586340 640345 644974 678920 693880 1024552 1172680 1280690 1289948 1408759 1612435 2433311 2561380 2579896 2817518 3224870 4866622 5122760 5635036 6449740 7043795 9733244 11270072 12166555 12899480 14087590 19466488 24333110 26766421 28175180 48666220 53532842 56350360 97332440 107065684 133832105 214131368 267664210 535328420 1070656840