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117960336 = 243213611033
BaseRepresentation
bin1110000011111…
…10111010010000
322012222000011100
413001332322100
5220144212321
615412144400
72631434454
oct701767220
9265860140
10117960336
116064938a
1233608100
131b591720
1411948664
15a551326
hex707ee90

117960336 has 120 divisors (see below), whose sum is σ = 361697336. Its totient is φ = 35665920.

The previous prime is 117960319. The next prime is 117960377. The reversal of 117960336 is 633069711.

117960336 is a `hidden beast` number, since 1 + 17 + 9 + 603 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 113550336 = 2100^2 + 10656^2 .

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 117960336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113676 + ... + 114708.

Almost surely, 2117960336 is an apocalyptic number.

117960336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117960336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180848668).

117960336 is an abundant number, since it is smaller than the sum of its proper divisors (243737000).

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

117960336 is a wasteful number, since it uses less digits than its factorization.

117960336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 117960336 is about 10860.9546541729. The cubic root of 117960336 is about 490.4318503016.

The spelling of 117960336 in words is "one hundred seventeen million, nine hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 468 488 549 624 732 793 936 976 1033 1098 1464 1586 1872 2066 2196 2379 2928 3099 3172 4132 4392 4758 6198 6344 7137 8264 8784 9297 9516 12396 12688 13429 14274 16528 18594 19032 24792 26858 28548 37188 38064 40287 49584 53716 57096 63013 74376 80574 107432 114192 120861 126026 148752 161148 189039 214864 241722 252052 322296 378078 483444 504104 567117 644592 756156 819169 966888 1008208 1134234 1512312 1638338 1933776 2268468 2457507 3024624 3276676 4536936 4915014 6553352 7372521 9073872 9830028 13106704 14745042 19660056 29490084 39320112 58980168 117960336