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10425728 = 27471733
BaseRepresentation
bin100111110001…
…010110000000
3201121200102002
4213301112000
510132110403
61011243132
7154421465
oct47612600
921550362
1010425728
115981005
1235a94a8
132210591
14155566c
15dae188
hex9f1580

10425728 has 32 divisors (see below), whose sum is σ = 21224160. Its totient is φ = 5099008.

The previous prime is 10425697. The next prime is 10425757. The reversal of 10425728 is 82752401.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 10425728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5150 + ... + 6882.

It is an arithmetic number, because the mean of its divisors is an integer number (663255).

Almost surely, 210425728 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 10425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612080).

10425728 is an abundant number, since it is smaller than the sum of its proper divisors (10798432).

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

10425728 is an equidigital number, since it uses as much as digits as its factorization.

10425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

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

The square root of 10425728 is about 3228.8895924141. The cubic root of 10425728 is about 218.4584242609.

The spelling of 10425728 in words is "ten million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 1733 3008 3466 6016 6932 13864 27728 55456 81451 110912 162902 221824 325804 651608 1303216 2606432 5212864 10425728