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1055175312 = 243179713331
BaseRepresentation
bin111110111001001…
…011001010010000
32201112111110102010
4332321023022100
54130111102222
6252412022520
735101561602
oct7671131220
92645443363
101055175312
114a1689914
12255461a40
1313a7b80b9
14a01d1172
156297e80c
hex3ee4b290

1055175312 has 80 divisors (see below), whose sum is σ = 2916188352. Its totient is φ = 327598080.

The previous prime is 1055175311. The next prime is 1055175349. The reversal of 1055175312 is 2135715501.

1055175312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10551753122 = 2226789878108594688, 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 1055175312.

It is not an unprimeable number, because it can be changed into a prime (1055175311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72487 + ... + 85817.

Almost surely, 21055175312 is an apocalyptic number.

1055175312 is a gapful number since it is divisible by the number (12) 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 1055175312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458094176).

1055175312 is an abundant number, since it is smaller than the sum of its proper divisors (1861013040).

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

1055175312 is a wasteful number, since it uses less digits than its factorization.

1055175312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13456 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 1055175312 is about 32483.4621307520. The cubic root of 1055175312 is about 1018.0635154254.

The spelling of 1055175312 in words is "one billion, fifty-five million, one hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 408 582 776 816 1164 1552 1649 2328 3298 4656 4947 6596 9894 13192 13331 19788 26384 26662 39576 39993 53324 79152 79986 106648 159972 213296 226627 319944 453254 639888 679881 906508 1293107 1359762 1813016 2586214 2719524 3626032 3879321 5172428 5439048 7758642 10344856 10878096 15517284 20689712 21982819 31034568 43965638 62069136 65948457 87931276 131896914 175862552 263793828 351725104 527587656 1055175312