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10643672 = 2313531931
BaseRepresentation
bin101000100110…
…100011011000
3202000202101002
4220212203120
510211044142
61020044132
7156320054
oct50464330
922022332
1010643672
11600a826
123693648
132288840
1415b0c64
15e03a32
hexa268d8

10643672 has 32 divisors (see below), whose sum is σ = 21908880. Its totient is φ = 4817280.

The previous prime is 10643657. The next prime is 10643693. The reversal of 10643672 is 27634601.

It is a super-2 number, since 2×106436722 = 226575507287168, 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 7 ways as a sum of consecutive naturals, for example, 4547 + ... + 6477.

Almost surely, 210643672 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 10643672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954440).

10643672 is an abundant number, since it is smaller than the sum of its proper divisors (11265208).

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

10643672 is a wasteful number, since it uses less digits than its factorization.

10643672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 10643672 is about 3262.4640994193. The cubic root of 10643672 is about 219.9701887981.

The spelling of 10643672 in words is "ten million, six hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 1931 2756 3862 5512 7724 15448 25103 50206 100412 102343 200824 204686 409372 818744 1330459 2660918 5321836 10643672