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113131392 = 2731126783
BaseRepresentation
bin1101011111000…
…11111110000000
321212212200002120
412233203332000
5212430201032
615120444240
72542413063
oct657437600
9255780076
10113131392
1158950320
1231a79680
131a59076a
141104c8da
159dea62c
hex6be3f80

113131392 has 64 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 34280960.

The previous prime is 113131373. The next prime is 113131399. The reversal of 113131392 is 293131311.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131399) 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, 9168 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2113131392 is an apocalyptic number.

113131392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113131392 is an abundant number, since it is smaller than the sum of its proper divisors (214704768).

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

113131392 is a wasteful number, since it uses less digits than its factorization.

113131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26811 (or 26799 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 113131392 is about 10636.3241770830. The cubic root of 113131392 is about 483.6461224919.

It can be divided in two parts, 1131 and 31392, that added together give a palindrome (32523).

The spelling of 113131392 in words is "one hundred thirteen million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 26783 53566 80349 107132 160698 214264 294613 321396 428528 589226 642792 857056 883839 1178452 1285584 1714112 1767678 2356904 2571168 3428224 3535356 4713808 5142336 7070712 9427616 10284672 14141424 18855232 28282848 37710464 56565696 113131392