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112475328 = 2637531579
BaseRepresentation
bin1101011010000…
…11110011000000
321211122100010220
412231003303000
5212243202303
615054423040
72534011260
oct655036300
9254570126
10112475328
1158542419
1231801a80
131a3c0c64
1410d1b7a0
159d1b053
hex6b43cc0

112475328 has 112 divisors (see below), whose sum is σ = 346740480. Its totient is φ = 31509504.

The previous prime is 112475323. The next prime is 112475329. The reversal of 112475328 is 823574211.

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

It is not an unprimeable number, because it can be changed into a prime (112475323) 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, 70443 + ... + 72021.

Almost surely, 2112475328 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 112475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173370240).

112475328 is an abundant number, since it is smaller than the sum of its proper divisors (234265152).

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

112475328 is a wasteful number, since it uses less digits than its factorization.

112475328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1644 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 112475328 is about 10605.4386047914. The cubic root of 112475328 is about 482.7094000130.

The spelling of 112475328 in words is "one hundred twelve million, four hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1579 1696 2226 2544 2968 3158 3392 4452 4737 5088 5936 6316 8904 9474 10176 11053 11872 12632 17808 18948 22106 23744 25264 33159 35616 37896 44212 50528 66318 71232 75792 83687 88424 101056 132636 151584 167374 176848 251061 265272 303168 334748 353696 502122 530544 585809 669496 707392 1004244 1061088 1171618 1338992 1757427 2008488 2122176 2343236 2677984 3514854 4016976 4686472 5355968 7029708 8033952 9372944 14059416 16067904 18745888 28118832 37491776 56237664 112475328