Search a number
-
+
5606560 = 25567523
BaseRepresentation
bin10101011000110010100000
3101112211202101
4111120302200
52413402220
6320100144
765440441
oct25306240
911484671
105606560
11318a323
121a64654
131213bbb
14a5d2c8
1575b30a
hex558ca0

5606560 has 48 divisors (see below), whose sum is σ = 13468896. Its totient is φ = 2204928.

The previous prime is 5606543. The next prime is 5606561. The reversal of 5606560 is 656065.

It is not an unprimeable number, because it can be changed into a prime (5606561) 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, 10459 + ... + 10981.

It is an arithmetic number, because the mean of its divisors is an integer number (280602).

Almost surely, 25606560 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 5606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734448).

5606560 is an abundant number, since it is smaller than the sum of its proper divisors (7862336).

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

5606560 is a wasteful number, since it uses less digits than its factorization.

5606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5606560 is about 2367.8175605397. The cubic root of 5606560 is about 177.6501143645.

The spelling of 5606560 in words is "five million, six hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 523 536 670 1046 1072 1340 2092 2144 2615 2680 4184 5230 5360 8368 10460 10720 16736 20920 35041 41840 70082 83680 140164 175205 280328 350410 560656 700820 1121312 1401640 2803280 5606560