Search a number
-
+
564060 = 223571779
BaseRepresentation
bin10001001101101011100
31001122202010
42021231130
5121022220
620031220
74536330
oct2115534
91048663
10564060
11355872
12232510
13169983
141097c0
15b21e0
hex89b5c

564060 has 96 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 119808.

The previous prime is 564059. The next prime is 564061. The reversal of 564060 is 60465.

564060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564059) and next prime (564061).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2564060 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 564060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

564060 is an abundant number, since it is smaller than the sum of its proper divisors (1371300).

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

564060 is a wasteful number, since it uses less digits than its factorization.

564060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 564060 is about 751.0392799315. The cubic root of 564060 is about 82.6244219929.

The spelling of 564060 in words is "five hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 79 84 85 102 105 119 140 158 170 204 210 237 238 255 316 340 357 395 420 474 476 510 553 595 714 790 948 1020 1106 1185 1190 1343 1428 1580 1659 1785 2212 2370 2380 2686 2765 3318 3570 4029 4740 5372 5530 6636 6715 7140 8058 8295 9401 11060 13430 16116 16590 18802 20145 26860 28203 33180 37604 40290 47005 56406 80580 94010 112812 141015 188020 282030 564060