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117038952 = 23333311637
BaseRepresentation
bin1101111100111…
…01111101101000
322011020012021000
412332131331220
5214430221302
615340315000
72620546302
oct676357550
9264205230
10117038952
116007a108
1233242a60
131b32b224
1411788972
15a41d31c
hex6f9df68

117038952 has 64 divisors (see below), whose sum is σ = 326289600. Its totient is φ = 38871360.

The previous prime is 117038921. The next prime is 117038989. The reversal of 117038952 is 259830711.

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 15 ways as a sum of consecutive naturals, for example, 70678 + ... + 72314.

It is an arithmetic number, because the mean of its divisors is an integer number (5098275).

Almost surely, 2117038952 is an apocalyptic number.

117038952 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 117038952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163144800).

117038952 is an abundant number, since it is smaller than the sum of its proper divisors (209250648).

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

117038952 is a wasteful number, since it uses less digits than its factorization.

117038952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 117038952 is about 10818.4542333921. The cubic root of 117038952 is about 489.1515958907.

The spelling of 117038952 in words is "one hundred seventeen million, thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1637 1986 2648 2979 3274 3972 4911 5958 6548 7944 8937 9822 11916 13096 14733 17874 19644 23832 29466 35748 39288 44199 58932 71496 88398 117864 176796 353592 541847 1083694 1625541 2167388 3251082 4334776 4876623 6502164 9753246 13004328 14629869 19506492 29259738 39012984 58519476 117038952