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10245872 = 2471331227
BaseRepresentation
bin100111000101…
…011011110000
3201021112200202
4213011123300
510110331442
61003334332
7153042230
oct47053360
921245622
1010245872
11586896a
1235213a8
132179760
141509cc0
15d75c32
hex9c56f0

10245872 has 80 divisors (see below), whose sum is σ = 25331712. Its totient is φ = 3905280.

The previous prime is 10245863. The next prime is 10245887. The reversal of 10245872 is 27854201.

10245872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 45023 + ... + 45249.

Almost surely, 210245872 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 10245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665856).

10245872 is an abundant number, since it is smaller than the sum of its proper divisors (15085840).

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

10245872 is a wasteful number, since it uses less digits than its factorization.

10245872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 10245872 is about 3200.9173685055. The cubic root of 10245872 is about 217.1949093654.

The spelling of 10245872 in words is "ten million, two hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 227 248 364 403 434 454 496 728 806 868 908 1456 1589 1612 1736 1816 2821 2951 3178 3224 3472 3632 5642 5902 6356 6448 7037 11284 11804 12712 14074 20657 22568 23608 25424 28148 41314 45136 47216 49259 56296 82628 91481 98518 112592 165256 182962 197036 330512 365924 394072 640367 731848 788144 1280734 1463696 2561468 5122936 10245872