Search a number
-
+
5665360 = 245233079
BaseRepresentation
bin10101100111001001010000
3101122211102011
4111213021100
52422242420
6321232304
766104041
oct25471120
911584364
105665360
11321a518
121a92694
1312348ac
14a768c8
1576d95a
hex567250

5665360 has 40 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 2166912.

The previous prime is 5665351. The next prime is 5665367. The reversal of 5665360 is 635665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665367) 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, 301 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 25665360 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 5665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

5665360 is an abundant number, since it is smaller than the sum of its proper divisors (8083760).

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

5665360 is a wasteful number, since it uses less digits than its factorization.

5665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 5665360 is about 2380.2016721278. The cubic root of 5665360 is about 178.2690036896.

The spelling of 5665360 in words is "five million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3079 6158 12316 15395 24632 30790 49264 61580 70817 123160 141634 246320 283268 354085 566536 708170 1133072 1416340 2832680 5665360