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113290008 = 233131929659
BaseRepresentation
bin1101100000010…
…10101100011000
321220011201200020
412300022230120
5213000240013
615124110440
72543643366
oct660125430
9256151606
10113290008
1158a49507
1231b35420
131a617a10
1411090636
159e2c623
hex6c0ab18

113290008 has 128 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 31836672.

The previous prime is 113290007. The next prime is 113290013. The reversal of 113290008 is 800092311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113290008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171583 + ... + 172241.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 2113290008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113290008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

113290008 is an abundant number, since it is smaller than the sum of its proper divisors (219349992).

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

113290008 is a wasteful number, since it uses less digits than its factorization.

113290008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 113290008 is about 10643.7779007268. Note that the first 3 decimals coincide. The cubic root of 113290008 is about 483.8720491411.

The spelling of 113290008 in words is "one hundred thirteen million, two hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 29 38 39 52 57 58 76 78 87 104 114 116 152 156 174 228 232 247 312 348 377 456 494 551 659 696 741 754 988 1102 1131 1318 1482 1508 1653 1976 1977 2204 2262 2636 2964 3016 3306 3954 4408 4524 5272 5928 6612 7163 7908 8567 9048 12521 13224 14326 15816 17134 19111 21489 25042 25701 28652 34268 37563 38222 42978 50084 51402 57304 57333 68536 75126 76444 85956 100168 102804 114666 150252 152888 162773 171912 205608 229332 248443 300504 325546 363109 458664 488319 496886 651092 726218 745329 976638 993772 1089327 1302184 1452436 1490658 1953276 1987544 2178654 2904872 2981316 3906552 4357308 4720417 5962632 8714616 9440834 14161251 18881668 28322502 37763336 56645004 113290008