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1107830976 = 26371748487
BaseRepresentation
bin100001000001000…
…0010100011000000
32212012120122101220
41002002002203000
54232101042401
6301532355040
736311256630
oct10202024300
92765518356
101107830976
1151938389a
1226b015a80
131486931b5
14a71ba6c0
15673d1336
hex420828c0

1107830976 has 112 divisors (see below), whose sum is σ = 3546994176. Its totient is φ = 297897984.

The previous prime is 1107830957. The next prime is 1107830989. The reversal of 1107830976 is 6790387011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11078309762 = 2454578942770225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396 + ... + 47091.

Almost surely, 21107830976 is an apocalyptic number.

1107830976 is a gapful number since it is divisible by the number (16) 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 1107830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773497088).

1107830976 is an abundant number, since it is smaller than the sum of its proper divisors (2439163200).

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

1107830976 is a wasteful number, since it uses less digits than its factorization.

1107830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48526 (or 48516 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1107830976 is about 33284.0949403766. The cubic root of 1107830976 is about 1034.7239498109.

The spelling of 1107830976 in words is "one billion, one hundred seven million, eight hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 48487 96974 145461 193948 290922 339409 387896 581844 678818 775792 824279 1018227 1163688 1357636 1551584 1648558 2036454 2327376 2472837 2715272 3103168 3297116 4072908 4654752 4945674 5430544 5769953 6594232 8145816 9309504 9891348 10861088 11539906 13188464 16291632 17309859 19782696 21722176 23079812 26376928 32583264 34619718 39565392 46159624 52753856 65166528 69239436 79130784 92319248 138478872 158261568 184638496 276957744 369276992 553915488 1107830976