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10504704 = 2937977
BaseRepresentation
bin101000000100…
…101000000000
3201202200202010
4220010220000
510142122304
61013052520
7155200650
oct50045000
921680663
1010504704
115a25381
123627140
13223a502
141576360
15dc7789
hexa04a00

10504704 has 80 divisors (see below), whose sum is σ = 32015808. Its totient is φ = 2998272.

The previous prime is 10504693. The next prime is 10504717. The reversal of 10504704 is 40740501.

It is a super-2 number, since 2×105047042 = 220697612255232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10264 + ... + 11240.

Almost surely, 210504704 is an apocalyptic number.

10504704 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 10504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007904).

10504704 is an abundant number, since it is smaller than the sum of its proper divisors (21511104).

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

10504704 is an frugal number, since it uses more digits than its factorization.

10504704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10504704 is about 3241.0961108859. The cubic root of 10504704 is about 219.0086525219.

The spelling of 10504704 in words is "ten million, five hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 977 1344 1536 1792 1954 2688 2931 3584 3908 5376 5862 6839 7816 10752 11724 13678 15632 20517 23448 27356 31264 41034 46896 54712 62528 82068 93792 109424 125056 164136 187584 218848 250112 328272 375168 437696 500224 656544 750336 875392 1313088 1500672 1750784 2626176 3501568 5252352 10504704