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112149960 = 233513293767
BaseRepresentation
bin1101010111101…
…00010111001000
321211000210211020
412223310113020
5212202244320
615043432440
72531154546
oct653642710
9254023736
10112149960
115833aa1a
1231685720
131a308b30
1410c74d96
159ca4940
hex6af45c8

112149960 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 25546752.

The previous prime is 112149949. The next prime is 112150007. The reversal of 112149960 is 69941211.

It is a super-2 number, since 2×1121499602 = 25155227056003200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1673847 + ... + 1673913.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2112149960 is an apocalyptic number.

112149960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112149960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

112149960 is an abundant number, since it is smaller than the sum of its proper divisors (278550840).

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

112149960 is a wasteful number, since it uses less digits than its factorization.

112149960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 112149960 is about 10590.0878183328. The cubic root of 112149960 is about 482.2434907793.

The spelling of 112149960 in words is "one hundred twelve million, one hundred forty-nine thousand, nine hundred sixty".