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21936992 = 2571129307
BaseRepresentation
bin101001110101…
…1101101100000
31112021111220012
41103223231200
521103440432
62102104052
7354314150
oct123535540
945244805
1021936992
1111423650
12741b028
134710c8c
142cb0760
151dd4cb2
hex14ebb60

21936992 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 8225280.

The previous prime is 21936989. The next prime is 21937031. The reversal of 21936992 is 29963912.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71303 + ... + 71609.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 221936992 is an apocalyptic number.

21936992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

21936992 is an abundant number, since it is smaller than the sum of its proper divisors (33946528).

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

21936992 is a wasteful number, since it uses less digits than its factorization.

21936992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 52488, while the sum is 41.

The square root of 21936992 is about 4683.6942684168. The cubic root of 21936992 is about 279.9361759290.

The spelling of 21936992 in words is "twenty-one million, nine hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 307 308 319 352 406 464 614 616 638 812 928 1228 1232 1276 1624 2149 2233 2456 2464 2552 3248 3377 4298 4466 4912 5104 6496 6754 8596 8903 8932 9824 10208 13508 17192 17806 17864 23639 27016 34384 35612 35728 47278 54032 62321 68768 71224 71456 94556 97933 108064 124642 142448 189112 195866 249284 284896 378224 391732 498568 685531 756448 783464 997136 1371062 1566928 1994272 2742124 3133856 5484248 10968496 21936992