Search a number
-
+
117940536 = 23397107
BaseRepresentation
bin1110000011110…
…10000100111000
322012221000000000
413001322010320
5220143044121
615411513000
72631322650
oct701720470
9265830000
10117940536
116063551a
12335b8760
131b5856cc
1411941360
15a54a526
hex707a138

117940536 has 160 divisors (see below), whose sum is σ = 382631040. Its totient is φ = 33382368.

The previous prime is 117940519. The next prime is 117940549. The reversal of 117940536 is 635049711.

117940536 is a `hidden beast` number, since 11 + 79 + 40 + 536 = 666.

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 117940536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1102195 + ... + 1102301.

It is an arithmetic number, because the mean of its divisors is an integer number (2391444).

Almost surely, 2117940536 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 117940536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191315520).

117940536 is an abundant number, since it is smaller than the sum of its proper divisors (264690504).

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

117940536 is an frugal number, since it uses more digits than its factorization.

117940536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 117940536 is about 10860.0430938372. The cubic root of 117940536 is about 490.4044086086.

The spelling of 117940536 in words is "one hundred seventeen million, nine hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 107 108 126 162 168 189 214 216 243 252 321 324 378 428 486 504 567 642 648 729 749 756 856 963 972 1134 1284 1458 1498 1512 1701 1926 1944 2187 2247 2268 2568 2889 2916 2996 3402 3852 4374 4494 4536 5103 5778 5832 5992 6561 6741 6804 7704 8667 8748 8988 10206 11556 13122 13482 13608 15309 17334 17496 17976 19683 20223 20412 23112 26001 26244 26964 30618 34668 39366 40446 40824 45927 52002 52488 53928 60669 61236 69336 78003 78732 80892 91854 104004 121338 122472 137781 156006 157464 161784 182007 183708 208008 234009 242676 275562 312012 364014 367416 468018 485352 546021 551124 624024 702027 728028 936036 1092042 1102248 1404054 1456056 1638063 1872072 2106081 2184084 2808108 3276126 4212162 4368168 4914189 5616216 6552252 8424324 9828378 13104504 14742567 16848648 19656756 29485134 39313512 58970268 117940536