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564316380 = 2232516718773
BaseRepresentation
bin100001101000101…
…100100011011100
31110022212020112200
4201220230203130
52123431111010
6131555131500
716661416155
oct4150544334
91408766480
10564316380
1126a5a6281
12138ba3b90
138cbb3924
1454d3892c
153481ecc0
hex21a2c8dc

564316380 has 72 divisors (see below), whose sum is σ = 1722101472. Its totient is φ = 149575296.

The previous prime is 564316373. The next prime is 564316381. The reversal of 564316380 is 83613465.

564316380 is a `hidden beast` number, since 5 + 643 + 1 + 6 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564316381) 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 23 ways as a sum of consecutive naturals, for example, 20674 + ... + 39446.

It is an arithmetic number, because the mean of its divisors is an integer number (23918076).

Almost surely, 2564316380 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 564316380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861050736).

564316380 is an abundant number, since it is smaller than the sum of its proper divisors (1157785092).

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

564316380 is a wasteful number, since it uses less digits than its factorization.

564316380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18950 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 564316380 is about 23755.3442408229. The cubic root of 564316380 is about 826.3693841592.

The spelling of 564316380 in words is "five hundred sixty-four million, three hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 18773 30060 37546 56319 75092 93865 112638 168957 187730 225276 281595 337914 375460 563190 675828 844785 1126380 1689570 3135091 3379140 6270182 9405273 12540364 15675455 18810546 28215819 31350910 37621092 47026365 56431638 62701820 94052730 112863276 141079095 188105460 282158190 564316380