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5663560 = 2357113179
BaseRepresentation
bin10101100110101101001000
3101122201221111
4111212231020
52422213220
6321220104
766065560
oct25465510
911581844
105663560
113219131
121a91634
131233b26
14a75da0
1576d15a
hex566b48

5663560 has 64 divisors (see below), whose sum is σ = 14774400. Its totient is φ = 1913856.

The previous prime is 5663549. The next prime is 5663561. The reversal of 5663560 is 653665.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5663561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31551 + ... + 31729.

It is an arithmetic number, because the mean of its divisors is an integer number (230850).

Almost surely, 25663560 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 5663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387200).

5663560 is an abundant number, since it is smaller than the sum of its proper divisors (9110840).

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

5663560 is a wasteful number, since it uses less digits than its factorization.

5663560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 5663560 is about 2379.8235228689. The cubic root of 5663560 is about 178.2501217946.

The spelling of 5663560 in words is "five million, six hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 179 226 280 358 452 565 716 791 895 904 1130 1253 1432 1582 1790 2260 2506 3164 3580 3955 4520 5012 6265 6328 7160 7910 10024 12530 15820 20227 25060 31640 40454 50120 80908 101135 141589 161816 202270 283178 404540 566356 707945 809080 1132712 1415890 2831780 5663560