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116664256 = 2619372593
BaseRepresentation
bin1101111010000…
…10011111000000
322010112011021101
412331002133000
5214331224011
615324304144
72614426012
oct675023700
9263464241
10116664256
115a943645
12330a2054
131b229807
14116cc1b2
15a3972c1
hex6f427c0

116664256 has 56 divisors (see below), whose sum is σ = 250372880. Its totient is φ = 53747712.

The previous prime is 116664179. The next prime is 116664263. The reversal of 116664256 is 652466611.

It is a super-2 number, since 2×1166642562 = 27221097256067072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 43696 + ... + 46288.

Almost surely, 2116664256 is an apocalyptic number.

116664256 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 116664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125186440).

116664256 is an abundant number, since it is smaller than the sum of its proper divisors (133708624).

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

116664256 is a wasteful number, since it uses less digits than its factorization.

116664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2651 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 116664256 is about 10801.1229045873. The cubic root of 116664256 is about 488.6290374224.

The spelling of 116664256 in words is "one hundred sixteen million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 1184 1216 1406 2368 2593 2812 5186 5624 10372 11248 20744 22496 41488 44992 49267 82976 95941 98534 165952 191882 197068 383764 394136 767528 788272 1535056 1576544 1822879 3070112 3153088 3645758 6140224 7291516 14583032 29166064 58332128 116664256