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117418968 = 233259131211
BaseRepresentation
bin1101111111110…
…10101111011000
322011221111112200
412333322233120
5220024401333
615352410200
72624021232
oct677725730
9264844480
10117418968
1160309677
12333a6960
131b4321a4
1411847252
15a495c13
hex6ffabd8

117418968 has 96 divisors (see below), whose sum is σ = 327412800. Its totient is φ = 38001600.

The previous prime is 117418943. The next prime is 117418981. The reversal of 117418968 is 869814711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556383 + ... + 556593.

It is an arithmetic number, because the mean of its divisors is an integer number (3410550).

Almost surely, 2117418968 is an apocalyptic number.

117418968 is a gapful number since it is divisible by the number (18) 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 117418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163706400).

117418968 is an abundant number, since it is smaller than the sum of its proper divisors (209993832).

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

117418968 is a wasteful number, since it uses less digits than its factorization.

117418968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 117418968 is about 10836.0033222586. The cubic root of 117418968 is about 489.6804358106.

The spelling of 117418968 in words is "one hundred seventeen million, four hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 131 177 211 236 262 354 393 422 472 524 531 633 708 786 844 1048 1062 1179 1266 1416 1572 1688 1899 2124 2358 2532 3144 3798 4248 4716 5064 7596 7729 9432 12449 15192 15458 23187 24898 27641 30916 37347 46374 49796 55282 61832 69561 74694 82923 92748 99592 110564 112041 139122 149388 165846 185496 221128 224082 248769 278244 298776 331692 448164 497538 556488 663384 896328 995076 1630819 1990152 3261638 4892457 6523276 9784914 13046552 14677371 19569828 29354742 39139656 58709484 117418968