Search a number
-
+
21565656 = 2333717839
BaseRepresentation
bin101001001000…
…1000011011000
31111120122112000
41102101003120
521010100111
62050121000
7351206430
oct122210330
944518460
1021565656
111119a662
127280160
134610c58
142c152c0
151d5ec56
hex14910d8

21565656 has 128 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 5792256.

The previous prime is 21565633. The next prime is 21565667. The reversal of 21565656 is 65656512.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21565656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25285 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 221565656 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 21565656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

21565656 is an abundant number, since it is smaller than the sum of its proper divisors (51010344).

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

21565656 is a wasteful number, since it uses less digits than its factorization.

21565656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 21565656 is about 4643.8837194745. The cubic root of 21565656 is about 278.3476491933.

The spelling of 21565656 in words is "twenty-one million, five hundred sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 839 918 952 1071 1224 1428 1512 1678 1836 2142 2517 2856 3213 3356 3672 4284 5034 5873 6426 6712 7551 8568 10068 11746 12852 14263 15102 17619 20136 22653 23492 25704 28526 30204 35238 42789 45306 46984 52857 57052 60408 70476 85578 90612 99841 105714 114104 128367 140952 158571 171156 181224 199682 211428 256734 299523 317142 342312 385101 399364 422856 513468 599046 634284 770202 798728 898569 1026936 1198092 1268568 1540404 1797138 2396184 2695707 3080808 3594276 5391414 7188552 10782828 21565656