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113191920 = 24325157211
BaseRepresentation
bin1101011111100…
…10101111110000
321212222202010100
412233302233300
5212434120140
615122032400
72543054412
oct657625760
9255882110
10113191920
1158991846
1231aa8700
131a5b218a
14110669b2
159e0d530
hex6bf2bf0

113191920 has 60 divisors (see below), whose sum is σ = 380138616. Its totient is φ = 30184320.

The previous prime is 113191909. The next prime is 113191937. The reversal of 113191920 is 29191311.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77886 + ... + 79325.

Almost surely, 2113191920 is an apocalyptic number.

113191920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113191920 is an abundant number, since it is smaller than the sum of its proper divisors (266946696).

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

113191920 is a wasteful number, since it uses less digits than its factorization.

113191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157230 (or 157221 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 113191920 is about 10639.1691404921. The cubic root of 113191920 is about 483.7323611941.

The spelling of 113191920 in words is "one hundred thirteen million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 157211 314422 471633 628844 786055 943266 1257688 1414899 1572110 1886532 2358165 2515376 2829798 3144220 3773064 4716330 5659596 6288440 7074495 7546128 9432660 11319192 12576880 14148990 18865320 22638384 28297980 37730640 56595960 113191920