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116232928 = 257292617
BaseRepresentation
bin1101110110110…
…01001011100000
322002201020121021
412323121023200
5214223423203
615311135224
72610651340
oct673311340
9262636537
10116232928
115a679579
1232b14514
131b1083a6
1411618d20
15a30e5bd
hex6ed92e0

116232928 has 72 divisors (see below), whose sum is σ = 271292112. Its totient is φ = 48018432.

The previous prime is 116232887. The next prime is 116232929. The reversal of 116232928 is 829232611.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116232893 and 116232902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116232929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188076 + ... + 188692.

It is an arithmetic number, because the mean of its divisors is an integer number (3767946).

Almost surely, 2116232928 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 116232928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135646056).

116232928 is an abundant number, since it is smaller than the sum of its proper divisors (155059184).

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

116232928 is an equidigital number, since it uses as much as digits as its factorization.

116232928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 655 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 116232928 is about 10781.1376023127. The cubic root of 116232928 is about 488.0261116549.

The spelling of 116232928 in words is "one hundred sixteen million, two hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 617 812 841 928 1234 1624 1682 2468 3248 3364 4319 4936 5887 6496 6728 8638 9872 11774 13456 17276 17893 19744 23548 26912 34552 35786 47096 69104 71572 94192 125251 138208 143144 188384 250502 286288 501004 518897 572576 1002008 1037794 2004016 2075588 3632279 4008032 4151176 7264558 8302352 14529116 16604704 29058232 58116464 116232928