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10565364 = 2231767773
BaseRepresentation
bin101000010011…
…011011110100
3201212202221210
4220103123310
510201042424
61014241420
7155542545
oct50233364
921782853
1010565364
115a66a07
123656270
13225bcc4
1415904cc
15dda729
hexa136f4

10565364 has 48 divisors (see below), whose sum is σ = 26526528. Its totient is φ = 3260928.

The previous prime is 10565341. The next prime is 10565369. The reversal of 10565364 is 46356501.

10565364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105653642 = 223253832904992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13282 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (552636).

Almost surely, 210565364 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 10565364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263264).

10565364 is an abundant number, since it is smaller than the sum of its proper divisors (15961164).

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

10565364 is a wasteful number, since it uses less digits than its factorization.

10565364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 10565364 is about 3250.4405855207. The cubic root of 10565364 is about 219.4294029083.

The spelling of 10565364 in words is "ten million, five hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 773 804 1139 1546 2278 2319 3092 3417 4556 4638 6834 9276 13141 13668 26282 39423 51791 52564 78846 103582 155373 157692 207164 310746 621492 880447 1760894 2641341 3521788 5282682 10565364