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21268992 = 29361227
BaseRepresentation
bin101000100100…
…0101000000000
31111000120120110
41101020220000
520421101432
62035511320
7345532503
oct121105000
944016513
1021268992
1111007788
127158540
134538c04
142b7913a
151d01dcc
hex1448a00

21268992 has 80 divisors (see below), whose sum is σ = 57844512. Its totient is φ = 6942720.

The previous prime is 21268991. The next prime is 21268993. The reversal of 21268992 is 29986212.

It is an interprime number because it is at equal distance from previous prime (21268991) and next prime (21268993).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 21268992.

It is not an unprimeable number, because it can be changed into a prime (21268991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93583 + ... + 93809.

Almost surely, 221268992 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 21268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922256).

21268992 is an abundant number, since it is smaller than the sum of its proper divisors (36575520).

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

21268992 is an equidigital number, since it uses as much as digits as its factorization.

21268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 21268992 is about 4611.8317402091. The cubic root of 21268992 is about 277.0654052784.

The spelling of 21268992 in words is "twenty-one million, two hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 227 244 256 366 384 454 488 512 681 732 768 908 976 1362 1464 1536 1816 1952 2724 2928 3632 3904 5448 5856 7264 7808 10896 11712 13847 14528 15616 21792 23424 27694 29056 31232 41541 43584 46848 55388 58112 83082 87168 93696 110776 116224 166164 174336 221552 332328 348672 443104 664656 886208 1329312 1772416 2658624 3544832 5317248 7089664 10634496 21268992