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10906884 = 2232302969
BaseRepresentation
bin101001100110…
…110100000100
3202112010102200
4221212310010
510243010014
61025434500
7161464332
oct51466404
922463380
1010906884
11617a55a
12379ba30
13234b5a1
14163cb52
15e56a09
hexa66d04

10906884 has 18 divisors (see below), whose sum is σ = 27570270. Its totient is φ = 3635616.

The previous prime is 10906849. The next prime is 10906919. The reversal of 10906884 is 48860901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10906849) and next prime (10906919).

It can be written as a sum of positive squares in only one way, i.e., 6110784 + 4796100 = 2472^2 + 2190^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 302969 = 10906884 / (1 + 0 + 9 + 0 + 6 + 8 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151449 + ... + 151520.

Almost surely, 210906884 is an apocalyptic number.

It is an amenable number.

10906884 is an abundant number, since it is smaller than the sum of its proper divisors (16663386).

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

10906884 is a wasteful number, since it uses less digits than its factorization.

10906884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302979 (or 302974 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10906884 is about 3302.5571910264. The cubic root of 10906884 is about 221.7686901669.

The spelling of 10906884 in words is "ten million, nine hundred six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 302969 605938 908907 1211876 1817814 2726721 3635628 5453442 10906884