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10696672 = 25717532
BaseRepresentation
bin101000110011…
…011111100000
3202010110002001
4220303133200
510214243142
61021133344
7156630430
oct50633740
922113061
1010696672
116046628
1236ba254
1322a69bc
1415c62c0
15e145b7
hexa337e0

10696672 has 72 divisors (see below), whose sum is σ = 25973136. Its totient is φ = 4233216.

The previous prime is 10696667. The next prime is 10696681. The reversal of 10696672 is 27669601.

10696672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106966722 = 228837583751168, 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 11 ways as a sum of consecutive naturals, for example, 201798 + ... + 201850.

It is an arithmetic number, because the mean of its divisors is an integer number (360738).

Almost surely, 210696672 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 10696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986568).

10696672 is an abundant number, since it is smaller than the sum of its proper divisors (15276464).

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

10696672 is an equidigital number, since it uses as much as digits as its factorization.

10696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 10696672 is about 3270.5767075548. The cubic root of 10696672 is about 220.3346971616.

The spelling of 10696672 in words is "ten million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 68 106 112 119 136 212 224 238 272 371 424 476 544 742 848 901 952 1484 1696 1802 1904 2809 2968 3604 3808 5618 5936 6307 7208 11236 11872 12614 14416 19663 22472 25228 28832 39326 44944 47753 50456 78652 89888 95506 100912 157304 191012 201824 314608 334271 382024 629216 668542 764048 1337084 1528096 2674168 5348336 10696672