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5760656 = 241171461
BaseRepresentation
bin10101111110011010010000
3101211200010122
4111332122100
52433320111
6323245412
766651626
oct25763220
911750118
105760656
113285080
121b19868
131269095
14a9d516
1578bcdb
hex57e690

5760656 has 40 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 2576000.

The previous prime is 5760631. The next prime is 5760659. The reversal of 5760656 is 6560675.

It is not an unprimeable number, because it can be changed into a prime (5760659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12266 + ... + 12726.

Almost surely, 25760656 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 5760656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

5760656 is an abundant number, since it is smaller than the sum of its proper divisors (6613552).

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

5760656 is a wasteful number, since it uses less digits than its factorization.

5760656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 5760656 is about 2400.1366627757. The cubic root of 5760656 is about 179.2629947001.

The spelling of 5760656 in words is "five million, seven hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 461 568 781 922 1136 1562 1844 3124 3688 5071 6248 7376 10142 12496 20284 32731 40568 65462 81136 130924 261848 360041 523696 720082 1440164 2880328 5760656