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112859328 = 2631771487
BaseRepresentation
bin1101011101000…
…01100011000000
321212100211220010
412232201203000
5212342444303
615110544520
72540200641
oct656414300
9255324803
10112859328
115878497a
1231968140
131a4c698a
1410dbb6c8
159d94c03
hex6ba18c0

112859328 has 112 divisors (see below), whose sum is σ = 321283584. Its totient is φ = 34836480.

The previous prime is 112859317. The next prime is 112859339. The reversal of 112859328 is 823958211.

It is an interprime number because it is at equal distance from previous prime (112859317) and next prime (112859339).

It is a super-2 number, since 2×1128593282 = 25474455833223168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231501 + ... + 231987.

Almost surely, 2112859328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160641792).

112859328 is an abundant number, since it is smaller than the sum of its proper divisors (208424256).

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

112859328 is a wasteful number, since it uses less digits than its factorization.

112859328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 112859328 is about 10623.5270979087. The cubic root of 112859328 is about 483.2581125377.

The spelling of 112859328 in words is "one hundred twelve million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 136 142 192 204 213 272 284 408 426 487 544 568 816 852 974 1088 1136 1207 1461 1632 1704 1948 2272 2414 2922 3264 3408 3621 3896 4544 4828 5844 6816 7242 7792 8279 9656 11688 13632 14484 15584 16558 19312 23376 24837 28968 31168 33116 34577 38624 46752 49674 57936 66232 69154 77248 93504 99348 103731 115872 132464 138308 198696 207462 231744 264928 276616 397392 414924 529856 553232 587809 794784 829848 1106464 1175618 1589568 1659696 1763427 2212928 2351236 3319392 3526854 4702472 6638784 7053708 9404944 14107416 18809888 28214832 37619776 56429664 112859328