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117064928 = 2519316211
BaseRepresentation
bin1101111101001…
…00010011100000
322011021111220002
412332210103200
5214432034203
615341035132
72621015111
oct676442340
9264244802
10117064928
1160097682
1233255aa8
131b339cb6
1411794208
15a425d88
hex6fa44e0

117064928 has 48 divisors (see below), whose sum is σ = 250467840. Its totient is φ = 53654400.

The previous prime is 117064919. The next prime is 117064939. The reversal of 117064928 is 829460711.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 117064891 and 117064900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15743 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (5218080).

Almost surely, 2117064928 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 117064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125233920).

117064928 is an abundant number, since it is smaller than the sum of its proper divisors (133402912).

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

117064928 is a wasteful number, since it uses less digits than its factorization.

117064928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 117064928 is about 10819.6547079840. The cubic root of 117064928 is about 489.1877811713.

The spelling of 117064928 in words is "one hundred seventeen million, sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 6211 9424 12422 18848 24844 49688 99376 118009 192541 198752 236018 385082 472036 770164 944072 1540328 1888144 3080656 3658279 3776288 6161312 7316558 14633116 29266232 58532464 117064928