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21307392 = 21332172
BaseRepresentation
bin101000101001…
…0000000000000
31111002112020200
41101102000000
520423314032
62040405200
7346052451
oct121220000
944075220
1021307392
1111033617
127176800
134550532
142b89128
151d0d47c
hex1452000

21307392 has 126 divisors (see below), whose sum is σ = 65384553. Its totient is φ = 6684672.

The previous prime is 21307381. The next prime is 21307397. The reversal of 21307392 is 29370312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 1806336 = 4416^2 + 1344^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3264.

It is not an unprimeable number, because it can be changed into a prime (21307397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1253368 + ... + 1253384.

Almost surely, 221307392 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 21307392

21307392 is an abundant number, since it is smaller than the sum of its proper divisors (44077161).

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

21307392 is an equidigital number, since it uses as much as digits as its factorization.

21307392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 21307392 is about 4615.9930675858. The cubic root of 21307392 is about 277.2320471685.

The spelling of 21307392 in words is "twenty-one million, three hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 289 306 384 408 512 544 576 578 612 768 816 867 1024 1088 1152 1156 1224 1536 1632 1734 2048 2176 2304 2312 2448 2601 3072 3264 3468 4096 4352 4608 4624 4896 5202 6144 6528 6936 8192 8704 9216 9248 9792 10404 12288 13056 13872 17408 18432 18496 19584 20808 24576 26112 27744 34816 36864 36992 39168 41616 52224 55488 69632 73728 73984 78336 83232 104448 110976 139264 147968 156672 166464 208896 221952 295936 313344 332928 417792 443904 591872 626688 665856 887808 1183744 1253376 1331712 1775616 2367488 2663424 3551232 5326848 7102464 10653696 21307392