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113395392 = 26321121627
BaseRepresentation
bin1101100001001…
…00011011000000
321220101002020100
412300210123000
5213012123032
615130242400
72544562545
oct660443300
9256332210
10113395392
1159010700
1231b86400
131a653986
14110babcc
159e4d97c
hex6c246c0

113395392 has 126 divisors (see below), whose sum is σ = 357481124. Its totient is φ = 34341120.

The previous prime is 113395391. The next prime is 113395393. The reversal of 113395392 is 293593311.

113395392 is a `hidden beast` number, since 113 + 3 + 9 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (113395391) and next prime (113395393).

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

It is not an unprimeable number, because it can be changed into a prime (113395391) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68883 + ... + 70509.

Almost surely, 2113395392 is an apocalyptic number.

113395392 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 113395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178740562).

113395392 is an abundant number, since it is smaller than the sum of its proper divisors (244085732).

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

113395392 is a wasteful number, since it uses less digits than its factorization.

113395392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1643 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 113395392 is about 10648.7272478921. The cubic root of 113395392 is about 484.0220375641.

The spelling of 113395392 in words is "one hundred thirteen million, three hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1627 1936 2112 2178 2904 3168 3254 3872 4356 4881 5808 6336 6508 7744 8712 9762 11616 13016 14643 17424 17897 19524 23232 26032 29286 34848 35794 39048 52064 53691 58572 69696 71588 78096 104128 107382 117144 143176 156192 161073 196867 214764 234288 286352 312384 322146 393734 429528 468576 572704 590601 644292 787468 859056 937152 1145408 1181202 1288584 1574936 1718112 1771803 2362404 2577168 3149872 3436224 3543606 4724808 5154336 6299744 7087212 9449616 10308672 12599488 14174424 18899232 28348848 37798464 56697696 113395392