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5302980 = 22325171733
BaseRepresentation
bin10100001110101011000100
3100222102022200
4110032223010
52324143410
6305354500
763034404
oct24165304
910872280
105302980
112aa2231
121938a30
131138977
149c0804
156eb3c0
hex50eac4

5302980 has 72 divisors (see below), whose sum is σ = 17041752. Its totient is φ = 1330176.

The previous prime is 5302967. The next prime is 5302987. The reversal of 5302980 is 892035.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 4334724 = 984^2 + 2082^2 .

It is not an unprimeable number, because it can be changed into a prime (5302987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194 + ... + 3926.

It is an arithmetic number, because the mean of its divisors is an integer number (236691).

Almost surely, 25302980 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 5302980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520876).

5302980 is an abundant number, since it is smaller than the sum of its proper divisors (11738772).

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

5302980 is a wasteful number, since it uses less digits than its factorization.

5302980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5302980 is about 2302.8200103352. The cubic root of 5302980 is about 174.3840111734.

The spelling of 5302980 in words is "five million, three hundred two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1733 3060 3466 5199 6932 8665 10398 15597 17330 20796 25995 29461 31194 34660 51990 58922 62388 77985 88383 103980 117844 147305 155970 176766 265149 294610 311940 353532 441915 530298 589220 883830 1060596 1325745 1767660 2651490 5302980