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21256992 = 253459139
BaseRepresentation
bin101000100010…
…1101100100000
31110222222010000
41101011230200
520420210432
62035340000
7345452511
oct121055440
943888100
1021256992
1110aa9769
127151600
134533603
142b74a08
151ced57c
hex1445b20

21256992 has 120 divisors (see below), whose sum is σ = 64033200. Its totient is φ = 6915456.

The previous prime is 21256931. The next prime is 21256997. The reversal of 21256992 is 29965212.

It is a happy number.

21256992 is a `hidden beast` number, since 2 + 1 + 2 + 569 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21256997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152859 + ... + 152997.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 221256992 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 21256992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600).

21256992 is an abundant number, since it is smaller than the sum of its proper divisors (42776208).

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

21256992 is a wasteful number, since it uses less digits than its factorization.

21256992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 21256992 is about 4610.5305551531. The cubic root of 21256992 is about 277.0132885578.

The spelling of 21256992 in words is "twenty-one million, two hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 139 144 162 177 216 236 278 288 324 354 417 432 472 531 556 648 708 834 864 944 1062 1112 1251 1296 1416 1593 1668 1888 2124 2224 2502 2592 2832 3186 3336 3753 4248 4448 4779 5004 5664 6372 6672 7506 8201 8496 9558 10008 11259 12744 13344 15012 16402 16992 19116 20016 22518 24603 25488 30024 32804 38232 40032 45036 49206 50976 60048 65608 73809 76464 90072 98412 120096 131216 147618 152928 180144 196824 221427 262432 295236 360288 393648 442854 590472 664281 787296 885708 1180944 1328562 1771416 2361888 2657124 3542832 5314248 7085664 10628496 21256992