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113147892 = 2232111331709
BaseRepresentation
bin1101011111001…
…11111111110100
321212220111201200
412233213333310
5212431213032
615121052500
72542512144
oct657477764
9255814650
10113147892
1158961760
1231a87130
131a598120
1411054924
159e0047c
hex6be7ff4

113147892 has 144 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 30585600.

The previous prime is 113147873. The next prime is 113147897. The reversal of 113147892 is 298741311.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113147897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159234 + ... + 159942.

Almost surely, 2113147892 is an apocalyptic number.

113147892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113147892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

113147892 is an abundant number, since it is smaller than the sum of its proper divisors (234195468).

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

113147892 is a wasteful number, since it uses less digits than its factorization.

113147892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 113147892 is about 10637.0997927067. The cubic root of 113147892 is about 483.6696343069.

The spelling of 113147892 in words is "one hundred thirteen million, one hundred forty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 709 806 858 1023 1116 1209 1287 1364 1418 1612 1716 2046 2127 2418 2574 2836 3069 3627 4092 4254 4433 4836 5148 6138 6381 7254 7799 8508 8866 9217 12276 12762 13299 14508 15598 17732 18434 21979 23397 25524 26598 27651 31196 36868 39897 43958 46794 53196 55302 65937 70191 79794 82953 87916 93588 101387 110604 131874 140382 159588 165906 197811 202774 241769 263748 280764 285727 304161 331812 395622 405548 483538 571454 608322 725307 791244 857181 912483 967076 1142908 1216644 1450614 1714362 1824966 2175921 2571543 2901228 3142997 3428724 3649932 4351842 5143086 6285994 8703684 9428991 10286172 12571988 18857982 28286973 37715964 56573946 113147892