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10305764 = 227312383
BaseRepresentation
bin100111010100…
…000011100100
3201101120211222
4213110003210
510114241024
61004515512
7153411650
oct47240344
921346758
1010305764
1158a9967
12354bb98
13219aab1
141523a60
15d8885e
hex9d40e4

10305764 has 36 divisors (see below), whose sum is σ = 21353472. Its totient is φ = 4263120.

The previous prime is 10305749. The next prime is 10305769. The reversal of 10305764 is 46750301.

It is not an unprimeable number, because it can be changed into a prime (10305769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26717 + ... + 27099.

It is an arithmetic number, because the mean of its divisors is an integer number (593152).

Almost surely, 210305764 is an apocalyptic number.

10305764 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 10305764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676736).

10305764 is an abundant number, since it is smaller than the sum of its proper divisors (11047708).

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

10305764 is a wasteful number, since it uses less digits than its factorization.

10305764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10305764 is about 3210.2591795679. The cubic root of 10305764 is about 217.6172899774.

The spelling of 10305764 in words is "ten million, three hundred five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 383 434 766 868 961 1532 1922 2681 3844 5362 6727 10724 11873 13454 23746 26908 47492 83111 166222 332444 368063 736126 1472252 2576441 5152882 10305764