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117983264 = 2571730983
BaseRepresentation
bin1110000100001…
…00100000100000
322020000011121112
413002010200200
5220200431024
615412442452
72631561350
oct702044040
9266004545
10117983264
1160664633
1233619428
131b59bca9
1411952b60
15a55800e
hex7084820

117983264 has 48 divisors (see below), whose sum is σ = 281086848. Its totient is φ = 47588352.

The previous prime is 117983249. The next prime is 117983267. The reversal of 117983264 is 462389711.

It is not an unprimeable number, because it can be changed into a prime (117983267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11684 + ... + 19299.

It is an arithmetic number, because the mean of its divisors is an integer number (5855976).

Almost surely, 2117983264 is an apocalyptic number.

117983264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

117983264 is an abundant number, since it is smaller than the sum of its proper divisors (163103584).

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

117983264 is a wasteful number, since it uses less digits than its factorization.

117983264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 31009 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 117983264 is about 10862.0101270437. The cubic root of 117983264 is about 490.4636233913.

The spelling of 117983264 in words is "one hundred seventeen million, nine hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 30983 61966 123932 216881 247864 433762 495728 526711 867524 991456 1053422 1735048 2106844 3470096 3686977 4213688 6940192 7373954 8427376 14747908 16854752 29495816 58991632 117983264