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916680920 = 235371274877
BaseRepresentation
bin110110101000110…
…111000011011000
32100212220012211012
4312220313003120
53334132242140
6230543353052
731500442061
oct6650670330
92325805735
10916680920
11430495a41
12216bb2788
13117bb715c
1489a5d568
1555724265
hex36a370d8

916680920 has 64 divisors (see below), whose sum is σ = 2135393280. Its totient is φ = 353880576.

The previous prime is 916680901. The next prime is 916680959. The reversal of 916680920 is 29086619.

916680920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185522 + ... + 190398.

It is an arithmetic number, because the mean of its divisors is an integer number (33365520).

Almost surely, 2916680920 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 916680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067696640).

916680920 is an abundant number, since it is smaller than the sum of its proper divisors (1218712360).

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

916680920 is a wasteful number, since it uses less digits than its factorization.

916680920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 916680920 is about 30276.7389261129. The cubic root of 916680920 is about 971.4178153777.

The spelling of 916680920 in words is "nine hundred sixteen million, six hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 127 148 185 254 296 370 508 635 740 1016 1270 1480 2540 4699 4877 5080 9398 9754 18796 19508 23495 24385 37592 39016 46990 48770 93980 97540 180449 187960 195080 360898 619379 721796 902245 1238758 1443592 1804490 2477516 3096895 3608980 4955032 6193790 7217960 12387580 22917023 24775160 45834046 91668092 114585115 183336184 229170230 458340460 916680920