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10505304 = 2332592473
BaseRepresentation
bin101000000100…
…110001011000
3201202201120100
4220010301120
510142132204
61013055400
7155202465
oct50046130
921681510
1010505304
115a25877
123627560
13223a874
14157666c
15dc7a39
hexa04c58

10505304 has 48 divisors (see below), whose sum is σ = 28945800. Its totient is φ = 3441024.

The previous prime is 10505291. The next prime is 10505317. The reversal of 10505304 is 40350501.

It is an interprime number because it is at equal distance from previous prime (10505291) and next prime (10505317).

It is a super-2 number, since 2×105053042 = 220722824264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3012 + ... + 5484.

Almost surely, 210505304 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 10505304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472900).

10505304 is an abundant number, since it is smaller than the sum of its proper divisors (18440496).

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

10505304 is a wasteful number, since it uses less digits than its factorization.

10505304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10505304 is about 3241.1886708428. The cubic root of 10505304 is about 219.0128221679.

Adding to 10505304 its reverse (40350501), we get a palindrome (50855805).

The spelling of 10505304 in words is "ten million, five hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 2473 4248 4946 7419 9892 14838 19784 22257 29676 44514 59352 89028 145907 178056 291814 437721 583628 875442 1167256 1313163 1750884 2626326 3501768 5252652 10505304