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21339864 = 23327133257
BaseRepresentation
bin101000101100…
…1111011011000
31111011011210100
41101121323120
520430333424
62041215400
7346246230
oct121317330
944134710
1021339864
1111055a57
127191560
134562250
142b96cc0
151d17dc9
hex1459ed8

21339864 has 96 divisors (see below), whose sum is σ = 71154720. Its totient is φ = 5626368.

The previous prime is 21339859. The next prime is 21339889. The reversal of 21339864 is 46893312.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 4924 + ... + 8180.

It is an arithmetic number, because the mean of its divisors is an integer number (741195).

Almost surely, 221339864 is an apocalyptic number.

21339864 is a gapful number since it is divisible by the number (24) 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 21339864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35577360).

21339864 is an abundant number, since it is smaller than the sum of its proper divisors (49814856).

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

21339864 is a wasteful number, since it uses less digits than its factorization.

21339864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3282 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21339864 is about 4619.5090648250. The cubic root of 21339864 is about 277.3728075489.

The spelling of 21339864 in words is "twenty-one million, three hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3257 3276 6514 6552 9771 13028 19542 22799 26056 29313 39084 42341 45598 58626 68397 78168 84682 91196 117252 127023 136794 169364 182392 205191 234504 254046 273588 296387 338728 381069 410382 508092 547176 592774 762138 820764 889161 1016184 1185548 1524276 1641528 1778322 2371096 2667483 3048552 3556644 5334966 7113288 10669932 21339864