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10906956 = 2232302971
BaseRepresentation
bin101001100110…
…110101001100
3202112010112100
4221212311030
510243010311
61025435100
7161464464
oct51466514
922463470
1010906956
11617a615
12379ba90
13234b628
14163cba4
15e56a56
hexa66d4c

10906956 has 18 divisors (see below), whose sum is σ = 27570452. Its totient is φ = 3635640.

The previous prime is 10906939. The next prime is 10906957. The reversal of 10906956 is 65960901.

10906956 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 (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: 302971 = 10906956 / (1 + 0 + 9 + 0 + 6 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10906956.

It is not an unprimeable number, because it can be changed into a prime (10906957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151450 + ... + 151521.

Almost surely, 210906956 is an apocalyptic number.

It is an amenable number.

10906956 is an abundant number, since it is smaller than the sum of its proper divisors (16663496).

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

10906956 is a wasteful number, since it uses less digits than its factorization.

10906956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302981 (or 302976 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 10906956 is about 3302.5680916523. The cubic root of 10906956 is about 221.7691781556.

The spelling of 10906956 in words is "ten million, nine hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 302971 605942 908913 1211884 1817826 2726739 3635652 5453478 10906956