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5560164 = 22341312
BaseRepresentation
bin10101001101011101100100
3101110111010000
4111031131210
52410411124
6315101300
765155251
oct25153544
911414100
105560164
113158485
121a41830
1311c8a4c
14a4a428
1574c6c9
hex54d764

5560164 has 45 divisors (see below), whose sum is σ = 14647171. Its totient is φ = 1839240.

The previous prime is 5560157. The next prime is 5560169. The reversal of 5560164 is 4610655.

Multipling 5560164 by its product of nonzero digits (3600), we get a square (20016590400 = 1414802).

It is a happy number.

The square root of 5560164 is 2358.

It is a perfect power (a square), and thus also a powerful number.

5560164 is a `hidden beast` number, since 55 + 601 + 6 + 4 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5560169) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42379 + ... + 42509.

Almost surely, 25560164 is an apocalyptic number.

5560164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5560164 is the 2358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5560164

5560164 is an abundant number, since it is smaller than the sum of its proper divisors (9087007).

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

5560164 is a wasteful number, since it uses less digits than its factorization.

5560164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 5560164 is about 177.1587200254.

The spelling of 5560164 in words is "five million, five hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 524 786 1179 1572 2358 3537 4716 7074 10611 14148 17161 21222 34322 42444 51483 68644 102966 154449 205932 308898 463347 617796 926694 1390041 1853388 2780082 5560164