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117504972 = 223313127659
BaseRepresentation
bin1110000000011…
…11101111001100
322012002212112000
413000033233030
5220040124342
615354312300
72624530044
oct700175714
9265085460
10117504972
1160368252
1233428690
131b462390
141186a724
15a4b144c
hex700fbcc

117504972 has 96 divisors (see below), whose sum is σ = 331161600. Its totient is φ = 35816256.

The previous prime is 117504917. The next prime is 117504977. The reversal of 117504972 is 279405711.

It is a happy number.

117504972 is a `hidden beast` number, since 117 + 50 + 497 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117504977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177979 + ... + 178637.

It is an arithmetic number, because the mean of its divisors is an integer number (3449600).

Almost surely, 2117504972 is an apocalyptic number.

117504972 is a gapful number since it is divisible by the number (12) 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 117504972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165580800).

117504972 is an abundant number, since it is smaller than the sum of its proper divisors (213656628).

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

117504972 is a wasteful number, since it uses less digits than its factorization.

117504972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 117504972 is about 10839.9710331716. The cubic root of 117504972 is about 489.7999627740.

The spelling of 117504972 in words is "one hundred seventeen million, five hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 351 381 468 508 659 702 762 1143 1318 1404 1524 1651 1977 2286 2636 3302 3429 3954 4572 4953 5931 6604 6858 7908 8567 9906 11862 13716 14859 17134 17793 19812 23724 25701 29718 34268 35586 44577 51402 59436 71172 77103 83693 89154 102804 154206 167386 178308 231309 251079 308412 334772 462618 502158 753237 925236 1004316 1088009 1506474 2176018 2259711 3012948 3264027 4352036 4519422 6528054 9038844 9792081 13056108 19584162 29376243 39168324 58752486 117504972