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10564764 = 2237173727
BaseRepresentation
bin101000010011…
…010010011100
3201212202010120
4220103102130
510201033024
61014234540
7155541030
oct50232234
921782116
1010564764
115a66511
123655a50
13225b952
1415901c0
15dda479
hexa1349c

10564764 has 48 divisors (see below), whose sum is σ = 28374528. Its totient is φ = 2996928.

The previous prime is 10564753. The next prime is 10564781. The reversal of 10564764 is 46746501.

It is a super-2 number, since 2×105647642 = 223228476751392, 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 15 ways as a sum of consecutive naturals, for example, 14169 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (591136).

Almost surely, 210564764 is an apocalyptic number.

10564764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187264).

10564764 is an abundant number, since it is smaller than the sum of its proper divisors (17809764).

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

10564764 is a wasteful number, since it uses less digits than its factorization.

10564764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 10564764 is about 3250.3482890300. The cubic root of 10564764 is about 219.4252490797.

The spelling of 10564764 in words is "ten million, five hundred sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 727 1038 1211 1454 2076 2181 2422 2908 3633 4362 4844 5089 7266 8724 10178 14532 15267 20356 30534 61068 125771 251542 377313 503084 754626 880397 1509252 1760794 2641191 3521588 5282382 10564764