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113195232 = 253514557
BaseRepresentation
bin1101011111100…
…11100011100000
321212222220200000
412233303203200
5212434221412
615122100000
72543100153
oct657634340
9255886600
10113195232
1158994287
1231aaa600
131a5b3837
1411067c9a
159e0e4dc
hex6bf38e0

113195232 has 72 divisors (see below), whose sum is σ = 333844056. Its totient is φ = 37729152.

The previous prime is 113195191. The next prime is 113195237. The reversal of 113195232 is 232591311.

113195232 is a `hidden beast` number, since 1 + 131 + 9 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113195196 and 113195205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113195237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (4636723).

Almost surely, 2113195232 is an apocalyptic number.

113195232 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 113195232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166922028).

113195232 is an abundant number, since it is smaller than the sum of its proper divisors (220648824).

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

113195232 is an equidigital number, since it uses as much as digits as its factorization.

113195232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14582 (or 14562 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 113195232 is about 10639.3247906058. The cubic root of 113195232 is about 483.7370791573.

The spelling of 113195232 in words is "one hundred thirteen million, one hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 14557 29114 43671 58228 87342 116456 131013 174684 232912 262026 349368 393039 465824 524052 698736 786078 1048104 1179117 1397472 1572156 2096208 2358234 3144312 3537351 4192416 4716468 6288624 7074702 9432936 12577248 14149404 18865872 28298808 37731744 56597616 113195232