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112156960 = 2551315351
BaseRepresentation
bin1101010111101…
…10000100100000
321211001011102111
412223312010200
5212203010320
615043525104
72531214136
oct653660440
9254034374
10112156960
1158345203
1231689794
131a30c086
1410c77756
159ca6a5a
hex6af6120

112156960 has 48 divisors (see below), whose sum is σ = 267043392. Its totient is φ = 44512000.

The previous prime is 112156951. The next prime is 112156991. The reversal of 112156960 is 69651211.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18285 + ... + 23635.

It is an arithmetic number, because the mean of its divisors is an integer number (5563404).

Almost surely, 2112156960 is an apocalyptic number.

112156960 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 112156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133521696).

112156960 is an abundant number, since it is smaller than the sum of its proper divisors (154886432).

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

112156960 is a wasteful number, since it uses less digits than its factorization.

112156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 112156960 is about 10590.4183109073. The cubic root of 112156960 is about 482.2535238761.

It can be divided in two parts, 1121 and 56960, that added together give a square (58081 = 2412).

The spelling of 112156960 in words is "one hundred twelve million, one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 5351 10480 10702 20960 21404 26755 42808 53510 85616 107020 171232 214040 428080 700981 856160 1401962 2803924 3504905 5607848 7009810 11215696 14019620 22431392 28039240 56078480 112156960