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5804560 = 24537253
BaseRepresentation
bin10110001001001000010000
3101220220100201
4112021020100
52441221220
6324224544
7100223626
oct26111020
911826321
105804560
113305063
121b3b154
131283068
14ab1516
15799d0a
hex589210

5804560 has 60 divisors (see below), whose sum is σ = 14131908. Its totient is φ = 2216448.

The previous prime is 5804543. The next prime is 5804563. The reversal of 5804560 is 654085.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 4477456 = 1152^2 + 2116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5804563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109494 + ... + 109546.

Almost surely, 25804560 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 5804560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065954).

5804560 is an abundant number, since it is smaller than the sum of its proper divisors (8327348).

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

5804560 is a wasteful number, since it uses less digits than its factorization.

5804560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5804560 is about 2409.2654482228. The cubic root of 5804560 is about 179.7172515576.

The spelling of 5804560 in words is "five million, eight hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 53 74 80 106 148 185 212 265 296 370 424 530 592 740 848 1060 1369 1480 1961 2120 2738 2960 3922 4240 5476 6845 7844 9805 10952 13690 15688 19610 21904 27380 31376 39220 54760 72557 78440 109520 145114 156880 290228 362785 580456 725570 1160912 1451140 2902280 5804560