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117355716 = 22342811289
BaseRepresentation
bin1101111111010…
…11010011000100
322011211021210000
412333223103010
5220020340331
615351201300
72623335642
oct677532304
9264737700
10117355716
11602760a5
1233376230
131b40c46a
141182c192
15a4820e6
hex6feb4c4

117355716 has 60 divisors (see below), whose sum is σ = 308121660. Its totient is φ = 38949120.

The previous prime is 117355703. The next prime is 117355717. The reversal of 117355716 is 617553711.

117355716 is a `hidden beast` number, since 11 + 73 + 5 + 571 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 29746116 = 9360^2 + 5454^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (22050) is a multiple of the sum of its prime divisors (1575).

It is not an unprimeable number, because it can be changed into a prime (117355717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90400 + ... + 91688.

It is an arithmetic number, because the mean of its divisors is an integer number (5135361).

Almost surely, 2117355716 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 117355716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154060830).

117355716 is an abundant number, since it is smaller than the sum of its proper divisors (190765944).

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

117355716 is a wasteful number, since it uses less digits than its factorization.

117355716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 117355716 is about 10833.0843253434. The cubic root of 117355716 is about 489.5924919552.

The spelling of 117355716 in words is "one hundred seventeen million, three hundred fifty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 281 324 562 843 1124 1289 1686 2529 2578 3372 3867 5058 5156 7587 7734 10116 11601 15174 15468 22761 23202 30348 34803 45522 46404 69606 91044 104409 139212 208818 362209 417636 724418 1086627 1448836 2173254 3259881 4346508 6519762 9779643 13039524 19559286 29338929 39118572 58677858 117355716