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117379008 = 2632297027
BaseRepresentation
bin1101111111100…
…00111111000000
322011212110201200
412333300333000
5220022112013
615351501200
72623463565
oct677607700
9264773650
10117379008
116029164a
1233387800
131b419c46
141183686c
15a488e73
hex6ff0fc0

117379008 has 84 divisors (see below), whose sum is σ = 348096840. Its totient is φ = 37771776.

The previous prime is 117378991. The next prime is 117379057. The reversal of 117379008 is 800973711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13191 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (4144010).

Almost surely, 2117379008 is an apocalyptic number.

117379008 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 117379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174048420).

117379008 is an abundant number, since it is smaller than the sum of its proper divisors (230717832).

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

117379008 is a wasteful number, since it uses less digits than its factorization.

117379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 117379008 is about 10834.1593121017. The cubic root of 117379008 is about 489.6248801915.

The spelling of 117379008 in words is "one hundred seventeen million, three hundred seventy-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 7027 8352 14054 16704 21081 28108 42162 56216 63243 84324 112432 126486 168648 203783 224864 252972 337296 407566 449728 505944 611349 674592 815132 1011888 1222698 1349184 1630264 1834047 2023776 2445396 3260528 3668094 4047552 4890792 6521056 7336188 9781584 13042112 14672376 19563168 29344752 39126336 58689504 117379008