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117056196 = 2232792521
BaseRepresentation
bin1101111101000…
…10001011000100
322011021001220200
412332202023010
5214431244241
615340530500
72620650465
oct676421304
9264231820
10117056196
1160091064
1233250a30
131b33602a
1411790d6c
15a4234b6
hex6fa22c4

117056196 has 54 divisors (see below), whose sum is σ = 300260142. Its totient is φ = 38450880.

The previous prime is 117056183. The next prime is 117056201. The reversal of 117056196 is 691650711.

It is a happy number.

117056196 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 561 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 27185796 = 9480^2 + 5214^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 117056196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224416 + ... + 224936.

It is an arithmetic number, because the mean of its divisors is an integer number (5560373).

Almost surely, 2117056196 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 117056196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150130071).

117056196 is an abundant number, since it is smaller than the sum of its proper divisors (183203946).

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

117056196 is a wasteful number, since it uses less digits than its factorization.

117056196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117056196 is about 10819.2511755666. The cubic root of 117056196 is about 489.1756178530.

The spelling of 117056196 in words is "one hundred seventeen million, fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 521 711 948 1042 1422 1563 2084 2844 3126 4689 6241 6252 9378 12482 18723 18756 24964 37446 41159 56169 74892 82318 112338 123477 164636 224676 246954 370431 493908 740862 1481724 3251561 6503122 9754683 13006244 19509366 29264049 39018732 58528098 117056196