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113910960 = 2435474629
BaseRepresentation
bin1101100101000…
…10010010110000
321221100021110110
412302202102300
5213130122320
615145301320
72552140632
oct662422260
9257307413
10113910960
1159332a99
1232194840
131a7a4547
14111b2a52
15a0015e0
hex6ca24b0

113910960 has 40 divisors (see below), whose sum is σ = 353124720. Its totient is φ = 30376192.

The previous prime is 113910959. The next prime is 113910961. The reversal of 113910960 is 69019311.

It is an interprime number because it is at equal distance from previous prime (113910959) and next prime (113910961).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113910961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237075 + ... + 237554.

It is an arithmetic number, because the mean of its divisors is an integer number (8828118).

Almost surely, 2113910960 is an apocalyptic number.

113910960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113910960 is an abundant number, since it is smaller than the sum of its proper divisors (239213760).

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

113910960 is a wasteful number, since it uses less digits than its factorization.

113910960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474645 (or 474639 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 113910960 is about 10672.9077574951. The cubic root of 113910960 is about 484.7544865724.

The spelling of 113910960 in words is "one hundred thirteen million, nine hundred ten thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 474629 949258 1423887 1898516 2373145 2847774 3797032 4746290 5695548 7119435 7594064 9492580 11391096 14238870 18985160 22782192 28477740 37970320 56955480 113910960