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117166272 = 2633716493
BaseRepresentation
bin1101111101111…
…01000011000000
322011110122220120
412332331003000
5214443310042
615343140240
72621616426
oct676750300
9264418816
10117166272
1160156833
12332a4680
131b374172
14117bd116
15a445dec
hex6fbd0c0

117166272 has 56 divisors (see below), whose sum is σ = 318400176. Its totient is φ = 37997568.

The previous prime is 117166249. The next prime is 117166303. The reversal of 117166272 is 272661711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 15350.

Almost surely, 2117166272 is an apocalyptic number.

117166272 is a gapful number since it is divisible by the number (12) 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 117166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159200088).

117166272 is an abundant number, since it is smaller than the sum of its proper divisors (201233904).

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

117166272 is a wasteful number, since it uses less digits than its factorization.

117166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16545 (or 16535 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 117166272 is about 10824.3370235779. The cubic root of 117166272 is about 489.3289049848.

The spelling of 117166272 in words is "one hundred seventeen million, one hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 16493 32986 49479 65972 98958 131944 197916 263888 395832 527776 610241 791664 1055552 1220482 1583328 1830723 2440964 3166656 3661446 4881928 7322892 9763856 14645784 19527712 29291568 39055424 58583136 117166272