Search a number
-
+
6023664 = 243259709
BaseRepresentation
bin10110111110100111110000
3102100000220200
4112332213300
53020224124
6333035200
7102125463
oct26764760
912300820
106023664
113444739
122025b00
13132b9ca
14b2b2da
157debc9
hex5be9f0

6023664 has 60 divisors (see below), whose sum is σ = 17167800. Its totient is φ = 1971072.

The previous prime is 6023663. The next prime is 6023683. The reversal of 6023664 is 4663206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6023663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8142 + ... + 8850.

It is an arithmetic number, because the mean of its divisors is an integer number (286130).

Almost surely, 26023664 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 6023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583900).

6023664 is an abundant number, since it is smaller than the sum of its proper divisors (11144136).

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

6023664 is a wasteful number, since it uses less digits than its factorization.

6023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6023664 is about 2454.3153831568. The cubic root of 6023664 is about 181.9506366951.

The spelling of 6023664 in words is "six million, twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 709 944 1062 1416 1418 2124 2127 2832 2836 4248 4254 5672 6381 8496 8508 11344 12762 17016 25524 34032 41831 51048 83662 102096 125493 167324 250986 334648 376479 501972 669296 752958 1003944 1505916 2007888 3011832 6023664