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117164032 = 211193011
BaseRepresentation
bin1101111101111…
…00100000000000
322011110112211121
412332330200000
5214443222112
615343122024
72621610046
oct676744000
9264415747
10117164032
1160155087
12332a3314
131b37313b
14117bc396
15a445407
hex6fbc800

117164032 has 48 divisors (see below), whose sum is σ = 246682800. Its totient is φ = 55480320.

The previous prime is 117164009. The next prime is 117164041. The reversal of 117164032 is 230461711.

It is a junction number, because it is equal to n+sod(n) for n = 117163988 and 117164006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37407 + ... + 40417.

It is an arithmetic number, because the mean of its divisors is an integer number (5139225).

Almost surely, 2117164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123341400).

117164032 is an abundant number, since it is smaller than the sum of its proper divisors (129518768).

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

117164032 is an equidigital number, since it uses as much as digits as its factorization.

117164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 117164032 is about 10824.2335525431. The cubic root of 117164032 is about 489.3257866137.

The spelling of 117164032 in words is "one hundred seventeen million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 3011 4864 6022 9728 12044 19456 24088 38912 48176 57209 96352 114418 192704 228836 385408 457672 770816 915344 1541632 1830688 3083264 3661376 6166528 7322752 14645504 29291008 58582016 117164032