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117995904 = 2732137879
BaseRepresentation
bin1110000100001…
…11100110000000
322020000210221200
413002013212000
5220201332104
615413021200
72631643245
oct702074600
9266023850
10117995904
1160673084
1233624800
131b5a4980
14119575cc
15a55bb39
hex7087980

117995904 has 96 divisors (see below), whose sum is σ = 365710800. Its totient is φ = 36301824.

The previous prime is 117995903. The next prime is 117995953. The reversal of 117995904 is 409599711.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117995904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117995903) 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, 11037 + ... + 18915.

Almost surely, 2117995904 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 117995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182855400).

117995904 is an abundant number, since it is smaller than the sum of its proper divisors (247714896).

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

117995904 is a wasteful number, since it uses less digits than its factorization.

117995904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 117995904 is about 10862.5919558824. The cubic root of 117995904 is about 490.4811378495.

The spelling of 117995904 in words is "one hundred seventeen million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 7879 14976 15758 23637 31516 47274 63032 70911 94548 102427 126064 141822 189096 204854 252128 283644 307281 378192 409708 504256 567288 614562 756384 819416 921843 1008512 1134576 1229124 1512768 1638832 1843686 2269152 2458248 3025536 3277664 3687372 4538304 4916496 6555328 7374744 9076608 9832992 13110656 14749488 19665984 29498976 39331968 58997952 117995904