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10612672 = 26723689
BaseRepresentation
bin101000011110…
…111111000000
3201222011211221
4220132333000
510204101142
61015244424
7156130510
oct50367700
921864757
1010612672
115a99504
123679714
1322776b5
1415a3840
15de9767
hexa1efc0

10612672 has 28 divisors (see below), whose sum is σ = 24069040. Its totient is φ = 4548096.

The previous prime is 10612669. The next prime is 10612699. The reversal of 10612672 is 27621601.

10612672 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 (28).

It is a super-2 number, since 2×106126722 = 225257613959168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11397 + ... + 12292.

Almost surely, 210612672 is an apocalyptic number.

It is an amenable number.

10612672 is an abundant number, since it is smaller than the sum of its proper divisors (13456368).

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

10612672 is an equidigital number, since it uses as much as digits as its factorization.

10612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23708 (or 23698 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10612672 is about 3257.7096248745. The cubic root of 10612672 is about 219.7564246373.

The spelling of 10612672 in words is "ten million, six hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 23689 47378 94756 165823 189512 331646 379024 663292 758048 1326584 1516096 2653168 5306336 10612672