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117663504 = 24372192633
BaseRepresentation
bin1110000001101…
…10011100010000
322012101220222120
413000312130100
5220110213004
615401534240
72626060200
oct700663420
9265356876
10117663504
1160466372
12334a4380
131b4b959a
14118ac400
15a4e33d9
hex7036710

117663504 has 120 divisors (see below), whose sum is σ = 372342240. Its totient is φ = 31836672.

The previous prime is 117663473. The next prime is 117663541. The reversal of 117663504 is 405366711.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43372 + ... + 46004.

It is an arithmetic number, because the mean of its divisors is an integer number (3102852).

Almost surely, 2117663504 is an apocalyptic number.

117663504 is a gapful number since it is divisible by the number (14) 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 117663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186171120).

117663504 is an abundant number, since it is smaller than the sum of its proper divisors (254678736).

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

117663504 is a wasteful number, since it uses less digits than its factorization.

117663504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 117663504 is about 10847.2809496205. The cubic root of 117663504 is about 490.0201352270.

The spelling of 117663504 in words is "one hundred seventeen million, six hundred sixty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2633 2793 3192 3724 5266 5586 6384 7448 7899 10532 11172 14896 15798 18431 21064 22344 31596 36862 42128 44688 50027 55293 63192 73724 100054 110586 126384 129017 147448 150081 200108 221172 258034 294896 300162 350189 387051 400216 442344 516068 600324 700378 774102 800432 884688 1032136 1050567 1200648 1400756 1548204 2064272 2101134 2401296 2451323 2801512 3096408 4202268 4902646 5603024 6192816 7353969 8404536 9805292 14707938 16809072 19610584 29415876 39221168 58831752 117663504