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112131504 = 24327310667
BaseRepresentation
bin1101010111011…
…11110110110000
321210222212111200
412223233312300
5212201202004
615043211200
72531050002
oct653576660
9253885450
10112131504
1158328071
1231676b00
131a300604
1410c6c372
159c9e239
hex6aefdb0

112131504 has 60 divisors (see below), whose sum is σ = 318141096. Its totient is φ = 36861696.

The previous prime is 112131493. The next prime is 112131529. The reversal of 112131504 is 405131211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5179 + ... + 15845.

Almost surely, 2112131504 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 112131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159070548).

112131504 is an abundant number, since it is smaller than the sum of its proper divisors (206009592).

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

112131504 is a wasteful number, since it uses less digits than its factorization.

112131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112131504 is about 10589.2164016040. The cubic root of 112131504 is about 482.2170358015.

Adding to 112131504 its reverse (405131211), we get a palindrome (517262715).

The spelling of 112131504 in words is "one hundred twelve million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 10667 21334 32001 42668 64002 85336 96003 128004 170672 192006 256008 384012 512016 768024 778691 1536048 1557382 2336073 3114764 4672146 6229528 7008219 9344292 12459056 14016438 18688584 28032876 37377168 56065752 112131504