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117006408 = 23321985531
BaseRepresentation
bin1101111100101…
…10000001001000
322011011112121200
412332112001020
5214423201113
615335504200
72620352361
oct676260110
9264145550
10117006408
1160057712
1233228060
131b31947c
141177ab68
15a413873
hex6f96048

117006408 has 48 divisors (see below), whose sum is σ = 333574800. Its totient is φ = 36948960.

The previous prime is 117006401. The next prime is 117006413. The reversal of 117006408 is 804600711.

It is a happy number.

117006408 is a `hidden beast` number, since 1 + 17 + 0 + 0 + 640 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (117006401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41398 + ... + 44133.

It is an arithmetic number, because the mean of its divisors is an integer number (6949475).

Almost surely, 2117006408 is an apocalyptic number.

117006408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117006408 is an abundant number, since it is smaller than the sum of its proper divisors (216568392).

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

117006408 is a wasteful number, since it uses less digits than its factorization.

117006408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85562 (or 85555 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117006408 is about 10816.9500322411. The cubic root of 117006408 is about 489.1062536493.

The spelling of 117006408 in words is "one hundred seventeen million, six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 85531 171062 256593 342124 513186 684248 769779 1026372 1539558 1625089 2052744 3079116 3250178 4875267 6158232 6500356 9750534 13000712 14625801 19501068 29251602 39002136 58503204 117006408