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117186816 = 283532879
BaseRepresentation
bin1101111110000…
…10000100000000
322011111201002110
412333002010000
5214444434231
615343415320
72622033345
oct677020400
9264451073
10117186816
116017020a
12332b4540
131b380616
14117c67cc
15a44c046
hex6fc2100

117186816 has 72 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 38311936.

The previous prime is 117186809. The next prime is 117186833. The reversal of 117186816 is 618681711.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39265 + ... + 42143.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2117186816 is an apocalyptic number.

117186816 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 117186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

117186816 is an abundant number, since it is smaller than the sum of its proper divisors (200696064).

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

117186816 is an equidigital number, since it uses as much as digits as its factorization.

117186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

The square root of 117186816 is about 10825.2859546527. The cubic root of 117186816 is about 489.3575030484.

The spelling of 117186816 in words is "one hundred seventeen million, one hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 2879 3392 5088 5758 6784 8637 10176 11516 13568 17274 20352 23032 34548 40704 46064 69096 92128 138192 152587 184256 276384 305174 368512 457761 552768 610348 737024 915522 1105536 1220696 1831044 2211072 2441392 3662088 4882784 7324176 9765568 14648352 19531136 29296704 39062272 58593408 117186816