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113354532 = 223319371493
BaseRepresentation
bin1101100000110…
…10011100100100
321220022000012000
412300122130210
5213004321112
615125325300
72544332454
oct660323444
9256260160
10113354532
1158a92a35
1231b66830
131a63b1b5
14110a9d64
159e417dc
hex6c1a724

113354532 has 96 divisors (see below), whose sum is σ = 317923200. Its totient is φ = 34805376.

The previous prime is 113354519. The next prime is 113354537. The reversal of 113354532 is 235453311.

113354532 is a `hidden beast` number, since 113 + 3 + 545 + 3 + 2 = 666.

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 = 113354496 and 113354505.

It is not an unprimeable number, because it can be changed into a prime (113354537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75178 + ... + 76670.

It is an arithmetic number, because the mean of its divisors is an integer number (3311700).

Almost surely, 2113354532 is an apocalyptic number.

113354532 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 113354532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158961600).

113354532 is an abundant number, since it is smaller than the sum of its proper divisors (204568668).

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

113354532 is a wasteful number, since it uses less digits than its factorization.

113354532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 113354532 is about 10646.8085358947. The cubic root of 113354532 is about 483.9638943537.

The spelling of 113354532 in words is "one hundred thirteen million, three hundred fifty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 666 684 703 999 1026 1332 1406 1493 1998 2052 2109 2812 2986 3996 4218 4479 5972 6327 8436 8958 12654 13437 17916 18981 25308 26874 28367 37962 40311 53748 55241 56734 75924 80622 85101 110482 113468 161244 165723 170202 220964 255303 331446 340404 497169 510606 662892 765909 994338 1021212 1049579 1491507 1531818 1988676 2099158 2983014 3063636 3148737 4198316 5966028 6297474 9446211 12594948 18892422 28338633 37784844 56677266 113354532