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116680832 = 273771347
BaseRepresentation
bin1101111010001…
…10100010000000
322010120000000022
412331012202000
5214332241312
615324513012
72614525232
oct675064200
9263500008
10116680832
115a955044
12330ab768
131b234218
14116d4252
15a39c172
hex6f46880

116680832 has 64 divisors (see below), whose sum is σ = 242792640. Its totient is φ = 55802880.

The previous prime is 116680829. The next prime is 116680841. The reversal of 116680832 is 238086611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1166808322 = 27228833112424448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116680792 and 116680801.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 336083 + ... + 336429.

It is an arithmetic number, because the mean of its divisors is an integer number (3793635).

Almost surely, 2116680832 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 116680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121396320).

116680832 is an abundant number, since it is smaller than the sum of its proper divisors (126111808).

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

116680832 is an equidigital number, since it uses as much as digits as its factorization.

116680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 116680832 is about 10801.8902049595. The cubic root of 116680832 is about 488.6521782758.

The spelling of 116680832 in words is "one hundred sixteen million, six hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 142 148 284 296 347 568 592 694 1136 1184 1388 2272 2368 2627 2776 4544 4736 5254 5552 9088 10508 11104 12839 21016 22208 24637 25678 42032 44416 49274 51356 84064 98548 102712 168128 197096 205424 336256 394192 410848 788384 821696 911569 1576768 1643392 1823138 3153536 3646276 7292552 14585104 29170208 58340416 116680832