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10927668 = 22317223137
BaseRepresentation
bin101001101011…
…111000110100
3202120011221110
4221223320310
510244141133
61030115020
7161612043
oct51537064
922504843
1010927668
116194134
1237aba70
132357b9b
14164655a
15e5cc63
hexa6be34

10927668 has 72 divisors (see below), whose sum is σ = 28469952. Its totient is φ = 3255296.

The previous prime is 10927649. The next prime is 10927673. The reversal of 10927668 is 86672901.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79696 + ... + 79832.

It is an arithmetic number, because the mean of its divisors is an integer number (395416).

Almost surely, 210927668 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 10927668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234976).

10927668 is an abundant number, since it is smaller than the sum of its proper divisors (17542284).

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

10927668 is a wasteful number, since it uses less digits than its factorization.

10927668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 10927668 is about 3305.7023459471. The cubic root of 10927668 is about 221.9094671839.

The spelling of 10927668 in words is "ten million, nine hundred twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 137 138 204 274 276 289 391 411 548 578 782 822 867 1156 1173 1564 1644 1734 2329 2346 3151 3468 4658 4692 6302 6647 6987 9316 9453 12604 13294 13974 18906 19941 26588 27948 37812 39593 39882 53567 79186 79764 107134 118779 158372 160701 214268 237558 321402 475116 642804 910639 1821278 2731917 3642556 5463834 10927668