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117656064 = 29342837
BaseRepresentation
bin1110000001101…
…00101000000000
322012101112210000
413000310220000
5220104443224
615401440000
72626026411
oct700645000
9265345700
10117656064
1160460819
12334a0000
131b4b6096
14118a9808
15a4e10c9
hex7034a00

117656064 has 100 divisors (see below), whose sum is σ = 351296154. Its totient is φ = 39204864.

The previous prime is 117656057. The next prime is 117656107. The reversal of 117656064 is 460656711.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 1016064 = 10800^2 + 1008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40054 + ... + 42890.

Almost surely, 2117656064 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 117656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175648077).

117656064 is an abundant number, since it is smaller than the sum of its proper divisors (233640090).

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

117656064 is an frugal number, since it uses more digits than its factorization.

117656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 117656064 is about 10846.9380011135. The cubic root of 117656064 is about 490.0098068286.

The spelling of 117656064 in words is "one hundred seventeen million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 2837 3456 4608 5184 5674 6912 8511 10368 11348 13824 17022 20736 22696 25533 34044 41472 45392 51066 68088 76599 90784 102132 136176 153198 181568 204264 229797 272352 306396 363136 408528 459594 544704 612792 726272 817056 919188 1089408 1225584 1452544 1634112 1838376 2178816 2451168 3268224 3676752 4357632 4902336 6536448 7353504 9804672 13072896 14707008 19609344 29414016 39218688 58828032 117656064