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116566032 = 24311277797
BaseRepresentation
bin1101111001010…
…10100000010000
322010100011112110
412330222200100
5214320103112
615322225320
72613536442
oct674524020
9263304473
10116566032
115a886870
1233055240
131b1c3bab
14116a4492
15a37813c
hex6f2a810

116566032 has 80 divisors (see below), whose sum is σ = 330103872. Its totient is φ = 35151360.

The previous prime is 116566031. The next prime is 116566049. The reversal of 116566032 is 230665611.

It is not an unprimeable number, because it can be changed into a prime (116566031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145858 + ... + 146654.

Almost surely, 2116566032 is an apocalyptic number.

116566032 is a gapful number since it is divisible by the number (12) 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 116566032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165051936).

116566032 is an abundant number, since it is smaller than the sum of its proper divisors (213537840).

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

116566032 is a wasteful number, since it uses less digits than its factorization.

116566032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 116566032 is about 10796.5750124750. The cubic root of 116566032 is about 488.4918672323.

The spelling of 116566032 in words is "one hundred sixteen million, five hundred sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 528 554 797 831 1108 1594 1662 2216 2391 3047 3188 3324 4432 4782 6094 6376 6648 8767 9141 9564 12188 12752 13296 17534 18282 19128 24376 26301 35068 36564 38256 48752 52602 70136 73128 105204 140272 146256 210408 220769 420816 441538 662307 883076 1324614 1766152 2428459 2649228 3532304 4856918 5298456 7285377 9713836 10596912 14570754 19427672 29141508 38855344 58283016 116566032