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112365104 = 2417735659
BaseRepresentation
bin1101011001010…
…00111000110000
321211102201221112
412230220320300
5212231140404
615052212452
72533042025
oct654507060
9254381845
10112365104
1158477625
123176a128
131a382a37
1410ccd54c
159ce856e
hex6b28e30

112365104 has 40 divisors (see below), whose sum is σ = 233712720. Its totient is φ = 52144128.

The previous prime is 112365101. The next prime is 112365161. The reversal of 112365104 is 401563211.

It is a self number, because there is not a number n which added to its sum of digits gives 112365104.

It is not an unprimeable number, because it can be changed into a prime (112365101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17027 + ... + 22685.

It is an arithmetic number, because the mean of its divisors is an integer number (5842818).

Almost surely, 2112365104 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 112365104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116856360).

112365104 is an abundant number, since it is smaller than the sum of its proper divisors (121347616).

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

112365104 is a wasteful number, since it uses less digits than its factorization.

112365104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 112365104 is about 10600.2407519829. The cubic root of 112365104 is about 482.5516660112.

The spelling of 112365104 in words is "one hundred twelve million, three hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 5659 9928 11318 19856 22636 45272 90544 96203 192406 384812 413107 769624 826214 1539248 1652428 3304856 6609712 7022819 14045638 28091276 56182552 112365104