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1130853120 = 2835317929
BaseRepresentation
bin100001101100111…
…0111001100000000
32220210220021211220
41003121313030000
54303444244440
6304114035040
740011043605
oct10331671400
92823807756
101130853120
11530378761
12276878a80
13150394077
14aa2906ac
156942c8d0
hex43677300

1130853120 has 144 divisors (see below), whose sum is σ = 3626955360. Its totient is φ = 300285952.

The previous prime is 1130853049. The next prime is 1130853133. The reversal of 1130853120 is 213580311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216816 + ... + 1217744.

It is an arithmetic number, because the mean of its divisors is an integer number (25187190).

Almost surely, 21130853120 is an apocalyptic number.

1130853120 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 1130853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813477680).

1130853120 is an abundant number, since it is smaller than the sum of its proper divisors (2496102240).

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

1130853120 is an equidigital number, since it uses as much as digits as its factorization.

1130853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1130853120 is about 33628.1596285018. The cubic root of 1130853120 is about 1041.8424932284.

The spelling of 1130853120 in words is "one billion, one hundred thirty million, eight hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 317 320 384 480 634 640 768 929 951 960 1268 1280 1585 1858 1902 1920 2536 2787 3170 3716 3804 3840 4645 4755 5072 5574 6340 7432 7608 9290 9510 10144 11148 12680 13935 14864 15216 18580 19020 20288 22296 25360 27870 29728 30432 37160 38040 40576 44592 50720 55740 59456 60864 74320 76080 81152 89184 101440 111480 118912 121728 148640 152160 178368 202880 222960 237824 243456 294493 297280 304320 356736 405760 445920 588986 594560 608640 713472 883479 891840 1177972 1189120 1217280 1472465 1766958 1783680 2355944 2944930 3533916 3567360 4417395 4711888 5889860 7067832 8834790 9423776 11779720 14135664 17669580 18847552 23559440 28271328 35339160 37695104 47118880 56542656 70678320 75390208 94237760 113085312 141356640 188475520 226170624 282713280 376951040 565426560 1130853120