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10307712 = 273171579
BaseRepresentation
bin100111010100…
…100010000000
3201101200112010
4213110202000
510114321322
61004532520
7153420432
oct47244200
921350463
1010307712
115900378
123551140
13219b94c
141524652
15d8920c
hex9d4880

10307712 has 64 divisors (see below), whose sum is σ = 29008800. Its totient is φ = 3231744.

The previous prime is 10307699. The next prime is 10307723. The reversal of 10307712 is 21770301.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5739 + ... + 7317.

Almost surely, 210307712 is an apocalyptic number.

10307712 is a gapful number since it is divisible by the number (12) 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 10307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504400).

10307712 is an abundant number, since it is smaller than the sum of its proper divisors (18701088).

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

10307712 is a wasteful number, since it uses less digits than its factorization.

10307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10307712 is about 3210.5625675261. The cubic root of 10307712 is about 217.6310004853.

The spelling of 10307712 in words is "ten million, three hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1579 1632 2176 3158 3264 4737 6316 6528 9474 12632 18948 25264 26843 37896 50528 53686 75792 80529 101056 107372 151584 161058 202112 214744 303168 322116 429488 606336 644232 858976 1288464 1717952 2576928 3435904 5153856 10307712