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108315252 = 223353127149
BaseRepresentation
bin1100111010011…
…00001001110100
321112210222121000
412131030021310
5210212042002
614425323300
72453443623
oct635141164
9245728530
10108315252
1156160941
1230336530
1319595586
14105576ba
15979861c
hex674c274

108315252 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 34909056.

The previous prime is 108315239. The next prime is 108315289. The reversal of 108315252 is 252513801.

It is a happy number.

108315252 is a `hidden beast` number, since 108 + 31 + 525 + 2 = 666.

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 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, 726874 + ... + 727022.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2108315252 is an apocalyptic number.

108315252 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 108315252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

108315252 is an abundant number, since it is smaller than the sum of its proper divisors (181988748).

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

108315252 is a wasteful number, since it uses less digits than its factorization.

108315252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 108315252 is about 10407.4613619268. The cubic root of 108315252 is about 476.6832278357.

The spelling of 108315252 in words is "one hundred eight million, three hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 127 149 159 212 254 298 318 381 447 477 508 596 636 762 894 954 1143 1341 1431 1524 1788 1908 2286 2682 2862 3429 4023 4572 5364 5724 6731 6858 7897 8046 13462 13716 15794 16092 18923 20193 23691 26924 31588 37846 40386 47382 56769 60579 71073 75692 80772 94764 113538 121158 142146 170307 181737 213219 227076 242316 284292 340614 363474 426438 510921 681228 726948 852876 1002919 1021842 2005838 2043684 3008757 4011676 6017514 9026271 12035028 18052542 27078813 36105084 54157626 108315252