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116563232 = 2559107577
BaseRepresentation
bin1101111001010…
…01110100100000
322010100000200202
412330221310200
5214320010412
615322204332
72613525332
oct674516440
9263300622
10116563232
115a884755
12330536a8
131b1c2836
14116a3452
15a3773c2
hex6f29d20

116563232 has 48 divisors (see below), whose sum is σ = 235962720. Its totient is φ = 56659968.

The previous prime is 116563231. The next prime is 116563247. The reversal of 116563232 is 232365611.

It is a junction number, because it is equal to n+sod(n) for n = 116563195 and 116563204.

It is not an unprimeable number, because it can be changed into a prime (116563231) by changing a digit.

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, 201728 + ... + 202304.

It is an arithmetic number, because the mean of its divisors is an integer number (4915890).

Almost surely, 2116563232 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 116563232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117981360).

116563232 is an abundant number, since it is smaller than the sum of its proper divisors (119399488).

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

116563232 is a wasteful number, since it uses less digits than its factorization.

116563232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 116563232 is about 10796.4453409444. The cubic root of 116563232 is about 488.4879558923.

The spelling of 116563232 in words is "one hundred sixteen million, five hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 107 118 214 236 428 472 577 856 944 1154 1712 1888 2308 3424 4616 6313 9232 12626 18464 25252 34043 50504 61739 68086 101008 123478 136172 202016 246956 272344 493912 544688 987824 1089376 1975648 3642601 7285202 14570404 29140808 58281616 116563232