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5640360 = 2335114273
BaseRepresentation
bin10101100001000010101000
3101121120010020
4111201002220
52420442420
6320520440
765641125
oct25410250
911546106
105640360
113202760
121a80120
1312263bb
14a6b74c
15766340
hex5610a8

5640360 has 64 divisors (see below), whose sum is σ = 18463680. Its totient is φ = 1367040.

The previous prime is 5640347. The next prime is 5640361. The reversal of 5640360 is 630465.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5640360.

It is not an unprimeable number, because it can be changed into a prime (5640361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (288495).

Almost surely, 25640360 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 5640360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231840).

5640360 is an abundant number, since it is smaller than the sum of its proper divisors (12823320).

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

5640360 is a wasteful number, since it uses less digits than its factorization.

5640360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5640360 is about 2374.9442098710. The cubic root of 5640360 is about 178.0063962689.

The spelling of 5640360 in words is "five million, six hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4273 8546 12819 17092 21365 25638 34184 42730 47003 51276 64095 85460 94006 102552 128190 141009 170920 188012 235015 256380 282018 376024 470030 512760 564036 705045 940060 1128072 1410090 1880120 2820180 5640360