Search a number
-
+
564990 = 23537509
BaseRepresentation
bin10001001111011111110
31001201000120
42021323332
5121034430
620035410
74542126
oct2117376
91051016
10564990
11356538
12232b66
1316a21a
14109c86
15b2610
hex89efe

564990 has 32 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 146304.

The previous prime is 564989. The next prime is 564997. The reversal of 564990 is 99465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2564990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

564990 is an abundant number, since it is smaller than the sum of its proper divisors (830370).

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

564990 is a wasteful number, since it uses less digits than its factorization.

564990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 564990 is about 751.6581669882. The cubic root of 564990 is about 82.6698063613.

The spelling of 564990 in words is "five hundred sixty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 509 555 1018 1110 1527 2545 3054 5090 7635 15270 18833 37666 56499 94165 112998 188330 282495 564990