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21329424 = 2432178713
BaseRepresentation
bin101000101011…
…1011000010000
31111010122110200
41101113120100
520430020144
62041055200
7346203624
oct121273020
944118420
1021329424
1111049126
127187500
13455a57c
142b93184
151d14c69
hex1457610

21329424 has 60 divisors (see below), whose sum is σ = 63211356. Its totient is φ = 6690816.

The previous prime is 21329401. The next prime is 21329431. The reversal of 21329424 is 42492312.

21329424 is a `hidden beast` number, since 213 + 29 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 2250000 = 4368^2 + 1500^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1909 + ... + 6804.

Almost surely, 221329424 is an apocalyptic number.

21329424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21329424 is an abundant number, since it is smaller than the sum of its proper divisors (41881932).

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

21329424 is a wasteful number, since it uses less digits than its factorization.

21329424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8735 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21329424 is about 4618.3789363802. The cubic root of 21329424 is about 277.3275675782.

The spelling of 21329424 in words is "twenty-one million, three hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 8713 17426 26139 34852 52278 69704 78417 104556 139408 148121 156834 209112 296242 313668 418224 444363 592484 627336 888726 1184968 1254672 1333089 1777452 2369936 2666178 3554904 5332356 7109808 10664712 21329424