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116566464 = 2637432017
BaseRepresentation
bin1101111001010…
…10100111000000
322010100012010110
412330222213000
5214320111324
615322231320
72613540630
oct674524700
9263305113
10116566464
115a887123
1233055540
131b1c4151
14116a46c0
15a378329
hex6f2a9c0

116566464 has 112 divisors (see below), whose sum is σ = 360850688. Its totient is φ = 32514048.

The previous prime is 116566441. The next prime is 116566481. The reversal of 116566464 is 464665611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) 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, 56784 + ... + 58800.

Almost surely, 2116566464 is an apocalyptic number.

116566464 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 116566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180425344).

116566464 is an abundant number, since it is smaller than the sum of its proper divisors (244284224).

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

116566464 is a wasteful number, since it uses less digits than its factorization.

116566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2072 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 116566464 is about 10796.5950188011. The cubic root of 116566464 is about 488.4924706907.

It can be divided in two parts, 116 and 566464, that added together give a triangular number (566580 = T1064).

The spelling of 116566464 in words is "one hundred sixteen million, five hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2017 2064 2408 2752 3612 4034 4128 4816 6051 7224 8068 8256 9632 12102 14119 14448 16136 19264 24204 28238 28896 32272 42357 48408 56476 57792 64544 84714 86731 96816 112952 129088 169428 173462 193632 225904 260193 338856 346924 387264 451808 520386 607117 677712 693848 903616 1040772 1214234 1355424 1387696 1821351 2081544 2428468 2710848 2775392 3642702 4163088 4856936 5550784 7285404 8326176 9713872 14570808 16652352 19427744 29141616 38855488 58283232 116566464