Search a number
-
+
21012936 = 23371929227
BaseRepresentation
bin101000000101…
…0000111001000
31110112120022220
41100022013020
520334403221
62030214040
7343415130
oct120120710
943476286
1021012936
111095236a
127054320
1344794b9
142b0dac0
151ca10c6
hex140a1c8

21012936 has 128 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 5467392.

The previous prime is 21012913. The next prime is 21012991. The reversal of 21012936 is 63921012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 92455 + ... + 92681.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 221012936 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 21012936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

21012936 is an abundant number, since it is smaller than the sum of its proper divisors (44651064).

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

21012936 is a wasteful number, since it uses less digits than its factorization.

21012936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 21012936 is about 4583.9869109761. The cubic root of 21012936 is about 275.9490559197.

Adding to 21012936 its reverse (63921012), we get a palindrome (84933948).

The spelling of 21012936 in words is "twenty-one million, twelve thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 227 228 232 266 348 399 406 454 456 532 551 609 681 696 798 812 908 1064 1102 1218 1362 1589 1596 1624 1653 1816 2204 2436 2724 3178 3192 3306 3857 4313 4408 4767 4872 5448 6356 6583 6612 7714 8626 9534 11571 12712 12939 13166 13224 15428 17252 19068 19749 23142 25878 26332 30191 30856 34504 38136 39498 46081 46284 51756 52664 60382 78996 90573 92162 92568 103512 120764 125077 138243 157992 181146 184324 241528 250154 276486 362292 368648 375231 500308 552972 724584 750462 875539 1000616 1105944 1500924 1751078 2626617 3001848 3502156 5253234 7004312 10506468 21012936