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5580144 = 243312917
BaseRepresentation
bin10101010010010101110000
3101111111112000
4111102111300
52412031034
6315334000
765300433
oct25222560
911444460
105580144
113171499
121a51300
131204b7b
14a5381a
15753599
hex552570

5580144 has 40 divisors (see below), whose sum is σ = 16018320. Its totient is φ = 1859904.

The previous prime is 5580143. The next prime is 5580163. The reversal of 5580144 is 4410855.

5580144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55801442 = 62276014121472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6027 + ... + 6890.

It is an arithmetic number, because the mean of its divisors is an integer number (400458).

Almost surely, 25580144 is an apocalyptic number.

5580144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5580144 is an abundant number, since it is smaller than the sum of its proper divisors (10438176).

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

5580144 is a wasteful number, since it uses less digits than its factorization.

5580144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5580144 is about 2362.2328420374. The cubic root of 5580144 is about 177.3706682027.

Adding to 5580144 its reverse (4410855), we get a palindrome (9990999).

The spelling of 5580144 in words is "five million, five hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12917 25834 38751 51668 77502 103336 116253 155004 206672 232506 310008 348759 465012 620016 697518 930024 1395036 1860048 2790072 5580144