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5620680 = 23325131201
BaseRepresentation
bin10101011100001111001000
3101120120010100
4111130033020
52414330210
6320245400
765526552
oct25341710
911516110
105620680
11319999a
121a70860
13121a460
14a644d2
157605c0
hex55c3c8

5620680 has 96 divisors (see below), whose sum is σ = 19688760. Its totient is φ = 1382400.

The previous prime is 5620669. The next prime is 5620709. The reversal of 5620680 is 860265.

5620680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 4137156 = 1218^2 + 2034^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4080 + ... + 5280.

Almost surely, 25620680 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 5620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844380).

5620680 is an abundant number, since it is smaller than the sum of its proper divisors (14068080).

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

5620680 is a wasteful number, since it uses less digits than its factorization.

5620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5620680 is about 2370.7973342317. The cubic root of 5620680 is about 177.7991253300.

It can be divided in two parts, 56 and 20680, that added together give a 4-th power (20736 = 124).

The spelling of 5620680 in words is "five million, six hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1201 1560 2340 2402 3603 4680 4804 6005 7206 9608 10809 12010 14412 15613 18015 21618 24020 28824 31226 36030 43236 46839 48040 54045 62452 72060 78065 86472 93678 108090 124904 140517 144120 156130 187356 216180 234195 281034 312260 374712 432360 468390 562068 624520 702585 936780 1124136 1405170 1873560 2810340 5620680