Search a number
-
+
21122976 = 253717432
BaseRepresentation
bin101000010010…
…0111110100000
31110202011021110
41100210332200
520401413401
62032423320
7344354010
oct120447640
943664243
1021122976
1110a18006
1270a7b40
1344b7604
142b3bc40
151cc39d6
hex1424fa0

21122976 has 144 divisors (see below), whose sum is σ = 68693184. Its totient is φ = 5548032.

The previous prime is 21122971. The next prime is 21123013. The reversal of 21122976 is 67922112.

Its product of digits (3024) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (21122971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491211 + ... + 491253.

It is an arithmetic number, because the mean of its divisors is an integer number (477036).

Almost surely, 221122976 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 21122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34346592).

21122976 is an abundant number, since it is smaller than the sum of its proper divisors (47570208).

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

21122976 is a wasteful number, since it uses less digits than its factorization.

21122976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 21122976 is about 4595.9738902653. The cubic root of 21122976 is about 276.4299118101.

The spelling of 21122976 in words is "twenty-one million, one hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 43 48 51 56 68 84 86 96 102 112 119 129 136 168 172 204 224 238 258 272 301 336 344 357 408 476 516 544 602 672 688 714 731 816 903 952 1032 1204 1376 1428 1462 1632 1806 1849 1904 2064 2193 2408 2856 2924 3612 3698 3808 4128 4386 4816 5117 5547 5712 5848 7224 7396 8772 9632 10234 11094 11424 11696 12943 14448 14792 15351 17544 20468 22188 23392 25886 28896 29584 30702 31433 35088 38829 40936 44376 51772 59168 61404 62866 70176 77658 81872 88752 94299 103544 122808 125732 155316 163744 177504 188598 207088 220031 245616 251464 310632 377196 414176 440062 491232 502928 621264 660093 754392 880124 1005856 1242528 1320186 1508784 1760248 2640372 3017568 3520496 5280744 7040992 10561488 21122976