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5656560 = 2435721337
BaseRepresentation
bin10101100100111111110000
3101122101100020
4111210333300
52422002220
6321123440
766036300
oct25447760
911571306
105656560
113213948
121a89580
1312308a0
14a73600
1576b040
hex564ff0

5656560 has 240 divisors, whose sum is σ = 22561056. Its totient is φ = 1161216.

The previous prime is 5656559. The next prime is 5656577. The reversal of 5656560 is 656565.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152862 + ... + 152898.

Almost surely, 25656560 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 5656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280528).

5656560 is an abundant number, since it is smaller than the sum of its proper divisors (16904496).

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

5656560 is a wasteful number, since it uses less digits than its factorization.

5656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5656560 is about 2378.3523708652. The cubic root of 5656560 is about 178.1766541484.

It can be divided in two parts, 5656 and 560, that added together give a triangular number (6216 = T111).

The spelling of 5656560 in words is "five million, six hundred fifty-six thousand, five hundred sixty".