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117234656 = 257311971
BaseRepresentation
bin1101111110011…
…01101111100000
322011121010201022
412333031233200
5220003002111
615344425012
72622323000
oct677155740
9264533638
10117234656
11601a3150
1233318168
131b399326
14117da000
15a45b2db
hex6fcdbe0

117234656 has 96 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 45628800.

The previous prime is 117234613. The next prime is 117234659. The reversal of 117234656 is 656432711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117234659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120251 + ... + 121221.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2117234656 is an apocalyptic number.

117234656 is a gapful number since it is divisible by the number (16) 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 117234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

117234656 is an abundant number, since it is smaller than the sum of its proper divisors (176698144).

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

117234656 is an equidigital number, since it uses as much as digits as its factorization.

117234656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 991 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 117234656 is about 10827.4953705832. The cubic root of 117234656 is about 489.4240852765.

The spelling of 117234656 in words is "one hundred seventeen million, two hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 343 352 392 539 616 686 784 971 1078 1232 1372 1568 1942 2156 2464 2744 3773 3884 4312 5488 6797 7546 7768 8624 10681 10976 13594 15092 15536 17248 21362 27188 30184 31072 42724 47579 54376 60368 74767 85448 95158 108752 120736 149534 170896 190316 217504 299068 333053 341792 380632 523369 598136 666106 761264 1046738 1196272 1332212 1522528 2093476 2392544 2664424 3663583 4186952 5328848 7327166 8373904 10657696 14654332 16747808 29308664 58617328 117234656