Search a number
-
+
5657220 = 2232553593
BaseRepresentation
bin10101100101001010000100
3101122102020200
4111211022010
52422012340
6321130500
766041232
oct25451204
911572220
105657220
113214398
121a89a30
131230c8a
14a73952
1576b330
hex565284

5657220 has 72 divisors (see below), whose sum is σ = 17513496. Its totient is φ = 1477632.

The previous prime is 5657207. The next prime is 5657251. The reversal of 5657220 is 227565.

5657220 is a `hidden beast` number, since 5 + 657 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 4384836 = 1128^2 + 2094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (243243).

Almost surely, 25657220 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 5657220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756748).

5657220 is an abundant number, since it is smaller than the sum of its proper divisors (11856276).

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

5657220 is a wasteful number, since it uses less digits than its factorization.

5657220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5657220 is about 2378.4911183353. The cubic root of 5657220 is about 178.1835836850.

The spelling of 5657220 in words is "five million, six hundred fifty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 593 636 795 954 1060 1186 1590 1779 1908 2372 2385 2965 3180 3558 4770 5337 5930 7116 8895 9540 10674 11860 17790 21348 26685 31429 35580 53370 62858 94287 106740 125716 157145 188574 282861 314290 377148 471435 565722 628580 942870 1131444 1414305 1885740 2828610 5657220