Search a number
-
+
564234660 = 223451131663
BaseRepresentation
bin100001101000011…
…000100110100100
31110022201002110000
4201220120212210
52123421002120
6131553301300
716660626003
oct4150304644
91408632400
10564234660
1126a54a940
12138b64830
138cb85682
1454d16c3a
1534805990
hex21a189a4

564234660 has 120 divisors (see below), whose sum is σ = 1930997376. Its totient is φ = 136779840.

The previous prime is 564234553. The next prime is 564234673. The reversal of 564234660 is 66432465.

564234660 is a `hidden beast` number, since 5 + 642 + 3 + 4 + 6 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1989 + ... + 33651.

Almost surely, 2564234660 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 564234660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965498688).

564234660 is an abundant number, since it is smaller than the sum of its proper divisors (1366762716).

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

564234660 is a wasteful number, since it uses less digits than its factorization.

564234660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31695 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 564234660 is about 23753.6241445384. The cubic root of 564234660 is about 826.3294927268.

The spelling of 564234660 in words is "five hundred sixty-four million, two hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 31663 63326 94989 126652 158315 189978 284967 316630 348293 379956 474945 569934 633260 696586 854901 949890 1044879 1139868 1393172 1424835 1709802 1741465 1899780 2089758 2564703 2849670 3134637 3419604 3482930 4179516 4274505 5129406 5224395 5699340 6269274 6965860 8549010 9403911 10258812 10448790 12538548 12823515 15673185 17098020 18807822 20897580 25647030 28211733 31346370 37615644 47019555 51294060 56423466 62692740 94039110 112846932 141058665 188078220 282117330 564234660