Search a number
-
+
5644360 = 235731933
BaseRepresentation
bin10101100010000001001000
3101121202121101
4111202001020
52421104420
6320551144
765655601
oct25420110
911552541
105644360
113205767
121a824b4
131228177
14a6cda8
1576760a
hex562048

5644360 has 32 divisors (see below), whose sum is σ = 12880440. Its totient is φ = 2225664.

The previous prime is 5644351. The next prime is 5644363. The reversal of 5644360 is 634465.

5644360 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 5026564 + 617796 = 2242^2 + 786^2 .

It is not an unprimeable number, because it can be changed into a prime (5644363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 3886.

Almost surely, 25644360 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 5644360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440220).

5644360 is an abundant number, since it is smaller than the sum of its proper divisors (7236080).

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

5644360 is a wasteful number, since it uses less digits than its factorization.

5644360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5644360 is about 2375.7861856657. The cubic root of 5644360 is about 178.0484655301.

The spelling of 5644360 in words is "five million, six hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 1933 2920 3866 7732 9665 15464 19330 38660 77320 141109 282218 564436 705545 1128872 1411090 2822180 5644360