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113074960 = 2453738201
BaseRepresentation
bin1101011110101…
…10001100010000
321212202210200111
412233112030100
5212421344320
615115331104
72542056415
oct657261420
9255683614
10113074960
1158911989
1231a50a94
131a570b7b
141103610c
159dd8a5a
hex6bd6310

113074960 has 40 divisors (see below), whose sum is σ = 270011736. Its totient is φ = 44006400.

The previous prime is 113074943. The next prime is 113074961. The reversal of 113074960 is 69470311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25240576 + 87834384 = 5024^2 + 9372^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113074961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16141 + ... + 22060.

Almost surely, 2113074960 is an apocalyptic number.

113074960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113074960 is an abundant number, since it is smaller than the sum of its proper divisors (156936776).

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

113074960 is a wasteful number, since it uses less digits than its factorization.

113074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38251 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 113074960 is about 10633.6710500184. The cubic root of 113074960 is about 483.5656919504.

The spelling of 113074960 in words is "one hundred thirteen million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 38201 76402 152804 191005 305608 382010 611216 764020 1413437 1528040 2826874 3056080 5653748 7067185 11307496 14134370 22614992 28268740 56537480 113074960