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117082464 = 25343113251
BaseRepresentation
bin1101111101010…
…00100101100000
322011022101221120
412332220211200
5214433114324
615341252240
72621120202
oct676504540
9264271846
10117082464
11600a9874
1233264080
131b344c85
141179a772
15a42b179
hex6fa8960

117082464 has 96 divisors (see below), whose sum is σ = 318536064. Its totient is φ = 37632000.

The previous prime is 117082457. The next prime is 117082487. The reversal of 117082464 is 464280711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1170824642 = 27416606752622592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 466339 + ... + 466589.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084).

Almost surely, 2117082464 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 117082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268032).

117082464 is an abundant number, since it is smaller than the sum of its proper divisors (201453600).

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

117082464 is a wasteful number, since it uses less digits than its factorization.

117082464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 117082464 is about 10820.4650547007. The cubic root of 117082464 is about 489.2122062739.

The spelling of 117082464 in words is "one hundred seventeen million, eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 113 129 172 226 251 258 339 344 452 502 516 678 688 753 904 1004 1032 1356 1376 1506 1808 2008 2064 2712 3012 3616 4016 4128 4859 5424 6024 8032 9718 10793 10848 12048 14577 19436 21586 24096 28363 29154 32379 38872 43172 56726 58308 64758 77744 85089 86344 113452 116616 129516 155488 170178 172688 226904 233232 259032 340356 345376 453808 466464 518064 680712 907616 1036128 1219609 1361424 2439218 2722848 3658827 4878436 7317654 9756872 14635308 19513744 29270616 39027488 58541232 117082464