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117556704 = 2533359379
BaseRepresentation
bin1110000000111…
…00010111100000
322012012111111000
413000130113200
5220043303304
615355352000
72625133626
oct700342740
9265174430
10117556704
11603a3101
1233452600
131b47caa5
1411881516
15a4c1939
hex701c5e0

117556704 has 96 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 38973312.

The previous prime is 117556697. The next prime is 117556723. The reversal of 117556704 is 407655711.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309987 + ... + 310365.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2117556704 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 117556704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

117556704 is an abundant number, since it is smaller than the sum of its proper divisors (227179296).

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

117556704 is a wasteful number, since it uses less digits than its factorization.

117556704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 117556704 is about 10842.3569393375. The cubic root of 117556704 is about 489.8718309787.

The spelling of 117556704 in words is "one hundred seventeen million, five hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 359 379 432 718 758 864 1077 1137 1436 1516 2154 2274 2872 3032 3231 3411 4308 4548 5744 6064 6462 6822 8616 9096 9693 10233 11488 12128 12924 13644 17232 18192 19386 20466 25848 27288 34464 36384 38772 40932 51696 54576 77544 81864 103392 109152 136061 155088 163728 272122 310176 327456 408183 544244 816366 1088488 1224549 1632732 2176976 2449098 3265464 3673647 4353952 4898196 6530928 7347294 9796392 13061856 14694588 19592784 29389176 39185568 58778352 117556704