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113321592 = 233817127
BaseRepresentation
bin1101100000100…
…10011001111000
321220020100000000
412300102121320
5213002242332
615124513000
72544134436
oct660223170
9256210000
10113321592
1158a7020a
1231b4b760
131a6291c7
141109bd56
159e36b7c
hex6c12678

113321592 has 144 divisors (see below), whose sum is σ = 340104960. Its totient is φ = 35271936.

The previous prime is 113321587. The next prime is 113321603. The reversal of 113321592 is 295123311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892233 + ... + 892359.

It is an arithmetic number, because the mean of its divisors is an integer number (2361840).

Almost surely, 2113321592 is an apocalyptic number.

113321592 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 113321592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170052480).

113321592 is an abundant number, since it is smaller than the sum of its proper divisors (226783368).

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

113321592 is an equidigital number, since it uses as much as digits as its factorization.

113321592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

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

The square root of 113321592 is about 10645.2614810534. The cubic root of 113321592 is about 483.9170110199.

The spelling of 113321592 in words is "one hundred thirteen million, three hundred twenty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 127 136 153 162 204 216 243 254 306 324 381 408 459 486 508 612 648 729 762 918 972 1016 1143 1224 1377 1458 1524 1836 1944 2159 2187 2286 2754 2916 3048 3429 3672 4131 4318 4374 4572 5508 5832 6477 6561 6858 8262 8636 8748 9144 10287 11016 12393 12954 13122 13716 16524 17272 17496 19431 20574 24786 25908 26244 27432 30861 33048 37179 38862 41148 49572 51816 52488 58293 61722 74358 77724 82296 92583 99144 111537 116586 123444 148716 155448 174879 185166 223074 233172 246888 277749 297432 349758 370332 446148 466344 524637 555498 699516 740664 833247 892296 1049274 1110996 1399032 1573911 1666494 2098548 2221992 3147822 3332988 4197096 4721733 6295644 6665976 9443466 12591288 14165199 18886932 28330398 37773864 56660796 113321592