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113124492 = 223313197409
BaseRepresentation
bin1101011111000…
…10010010001100
321212212022122000
412233202102030
5212424440432
615120352300
72542354005
oct657422214
9255768560
10113124492
1158946118
1231a75690
131a58a590
141104a1ac
159de857c
hex6be248c

113124492 has 96 divisors (see below), whose sum is σ = 318225600. Its totient is φ = 34546176.

The previous prime is 113124491. The next prime is 113124493. The reversal of 113124492 is 294421311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113124491) and next prime (113124493).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113124491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276384 + ... + 276792.

It is an arithmetic number, because the mean of its divisors is an integer number (3314850).

Almost surely, 2113124492 is an apocalyptic number.

113124492 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 113124492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159112800).

113124492 is an abundant number, since it is smaller than the sum of its proper divisors (205101108).

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

113124492 is a wasteful number, since it uses less digits than its factorization.

113124492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 113124492 is about 10635.9998119594. Note that the first 3 decimals coincide. The cubic root of 113124492 is about 483.6362896004.

The spelling of 113124492 in words is "one hundred thirteen million, one hundred twenty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 197 234 351 394 409 468 591 702 788 818 1182 1227 1404 1636 1773 2364 2454 2561 3546 3681 4908 5122 5317 5319 7092 7362 7683 10244 10634 10638 11043 14724 15366 15951 21268 21276 22086 23049 30732 31902 44172 46098 47853 63804 69147 80573 92196 95706 138294 143559 161146 191412 241719 276588 287118 322292 483438 574236 725157 966876 1047449 1450314 2094898 2175471 2900628 3142347 4189796 4350942 6284694 8701884 9427041 12569388 18854082 28281123 37708164 56562246 113124492