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10677984 = 253111229
BaseRepresentation
bin101000101110…
…111011100000
3202002111102220
4220232323200
510213143414
61020511040
7156522102
oct50567340
922074386
1010677984
116033589
1236ab480
13229b345
1415bd572
15e0dca9
hexa2eee0

10677984 has 24 divisors (see below), whose sum is σ = 28029960. Its totient is φ = 3559296.

The previous prime is 10677983. The next prime is 10678007. The reversal of 10677984 is 48977601.

10677984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106779842 = 228038684608512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55519 + ... + 55710.

It is an arithmetic number, because the mean of its divisors is an integer number (1167915).

Almost surely, 210677984 is an apocalyptic number.

It is an amenable number.

10677984 is an abundant number, since it is smaller than the sum of its proper divisors (17351976).

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

10677984 is a wasteful number, since it uses less digits than its factorization.

10677984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111242 (or 111234 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 10677984 is about 3267.7184701256. The cubic root of 10677984 is about 220.2063078491.

The spelling of 10677984 in words is "ten million, six hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 111229 222458 333687 444916 667374 889832 1334748 1779664 2669496 3559328 5338992 10677984