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112981120 = 275725219
BaseRepresentation
bin1101011101111…
…11010010000000
321212121000221221
412232333102000
5212410343440
615113324424
72541216010
oct656772200
9255530857
10112981120
115885842a
1231a06714
131a53a245
141100dc40
159dbad4a
hex6bbf480

112981120 has 64 divisors (see below), whose sum is σ = 308692800. Its totient is φ = 38734848.

The previous prime is 112981109. The next prime is 112981123. The reversal of 112981120 is 21189211.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (112981123) 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, 8130 + ... + 17089.

It is an arithmetic number, because the mean of its divisors is an integer number (4823325).

Almost surely, 2112981120 is an apocalyptic number.

112981120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112981120 is an abundant number, since it is smaller than the sum of its proper divisors (195711680).

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

112981120 is an equidigital number, since it uses as much as digits as its factorization.

112981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25245 (or 25233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The square root of 112981120 is about 10629.2577351384. The cubic root of 112981120 is about 483.4318858357.

The spelling of 112981120 in words is "one hundred twelve million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 25219 50438 100876 126095 176533 201752 252190 353066 403504 504380 706132 807008 882665 1008760 1412264 1614016 1765330 2017520 2824528 3228032 3530660 4035040 5649056 7061320 8070080 11298112 14122640 16140160 22596224 28245280 56490560 112981120