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5580264 = 2334153107
BaseRepresentation
bin10101010010010111101000
3101111111200110
4111102113220
52412032024
6315334320
765300664
oct25222750
911444613
105580264
113171598
121a513a0
131204c41
14a538a4
15753629
hex5525e8

5580264 has 64 divisors (see below), whose sum is σ = 14696640. Its totient is φ = 1763840.

The previous prime is 5580259. The next prime is 5580269. The reversal of 5580264 is 4620855.

It is an interprime number because it is at equal distance from previous prime (5580259) and next prime (5580269).

It is a super-2 number, since 2×55802642 = 62278692619392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5580269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52099 + ... + 52205.

It is an arithmetic number, because the mean of its divisors is an integer number (229635).

Almost surely, 25580264 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 5580264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348320).

5580264 is an abundant number, since it is smaller than the sum of its proper divisors (9116376).

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

5580264 is a wasteful number, since it uses less digits than its factorization.

5580264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5580264 is about 2362.2582415985. The cubic root of 5580264 is about 177.3719396351.

The spelling of 5580264 in words is "five million, five hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 53 82 106 107 123 159 164 212 214 246 318 321 328 424 428 492 636 642 856 984 1272 1284 2173 2568 4346 4387 5671 6519 8692 8774 11342 13038 13161 17013 17384 17548 22684 26076 26322 34026 35096 45368 52152 52644 68052 105288 136104 232511 465022 697533 930044 1395066 1860088 2790132 5580264