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112960470 = 23571673221
BaseRepresentation
bin1101011101110…
…10001111010110
321212112222122010
412232322033112
5212404213340
615113045050
72541101550
oct656721726
9255488563
10112960470
1158843967
12319b6786
131a530a1c
14110064d0
159db4b80
hex6bba3d6

112960470 has 64 divisors (see below), whose sum is σ = 311786496. Its totient is φ = 25656960.

The previous prime is 112960469. The next prime is 112960489. The reversal of 112960470 is 74069211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 33460 + ... + 36680.

It is an arithmetic number, because the mean of its divisors is an integer number (4871664).

Almost surely, 2112960470 is an apocalyptic number.

112960470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112960470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155893248).

112960470 is an abundant number, since it is smaller than the sum of its proper divisors (198826026).

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

112960470 is a wasteful number, since it uses less digits than its factorization.

112960470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 112960470 is about 10628.2863153003. The cubic root of 112960470 is about 483.4024311306.

The spelling of 112960470 in words is "one hundred twelve million, nine hundred sixty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 167 210 334 501 835 1002 1169 1670 2338 2505 3221 3507 5010 5845 6442 7014 9663 11690 16105 17535 19326 22547 32210 35070 45094 48315 67641 96630 112735 135282 225470 338205 537907 676410 1075814 1613721 2689535 3227442 3765349 5379070 7530698 8068605 11296047 16137210 18826745 22592094 37653490 56480235 112960470