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113611968 = 2632197243
BaseRepresentation
bin1101100010110…
…01010011000000
321220210002022200
412301121103000
5213041040333
615135033200
72546454141
oct661312300
9256702280
10113611968
1159149398
123206b800
131a6cb422
1411135ac8
159e92c13
hex6c594c0

113611968 has 42 divisors (see below), whose sum is σ = 325649844. Its totient is φ = 37870464.

The previous prime is 113611961. The next prime is 113611997. The reversal of 113611968 is 869116311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113611961) 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 5 ways as a sum of consecutive naturals, for example, 98046 + ... + 99197.

Almost surely, 2113611968 is an apocalyptic number.

113611968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113611968 is an abundant number, since it is smaller than the sum of its proper divisors (212037876).

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

113611968 is a wasteful number, since it uses less digits than its factorization.

113611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197261 (or 197248 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 113611968 is about 10658.8914995885. The cubic root of 113611968 is about 484.3299892021.

The spelling of 113611968 in words is "one hundred thirteen million, six hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 197243 394486 591729 788972 1183458 1577944 1775187 2366916 3155888 3550374 4733832 6311776 7100748 9467664 12623552 14201496 18935328 28402992 37870656 56805984 113611968