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117316864 = 287173851
BaseRepresentation
bin1101111111000…
…01110100000000
322011202022111001
412333201310000
5220013114424
615350301344
72623114450
oct677416400
9264668431
10117316864
1160249995
1233357854
131b3c7882
141181bd60
15a475844
hex6fe1d00

117316864 has 72 divisors (see below), whose sum is σ = 283445568. Its totient is φ = 47308800.

The previous prime is 117316831. The next prime is 117316877. The reversal of 117316864 is 468613711.

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, 28539 + ... + 32389.

It is an arithmetic number, because the mean of its divisors is an integer number (3936744).

Almost surely, 2117316864 is an apocalyptic number.

117316864 is a gapful number since it is divisible by the number (14) 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 117316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141722784).

117316864 is an abundant number, since it is smaller than the sum of its proper divisors (166128704).

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

117316864 is an equidigital number, since it uses as much as digits as its factorization.

117316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3877 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 117316864 is about 10831.2909664546. The cubic root of 117316864 is about 489.5384575271.

The spelling of 117316864 in words is "one hundred seventeen million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 3851 4352 7616 7702 15232 15404 26957 30464 30808 53914 61616 65467 107828 123232 130934 215656 246464 261868 431312 458269 492928 523736 862624 916538 985856 1047472 1725248 1833076 2094944 3450496 3666152 4189888 6900992 7332304 8379776 14664608 16759552 29329216 58658432 117316864