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21305856 = 293111397
BaseRepresentation
bin101000101000…
…1101000000000
31111002110010210
41101101220000
520423241411
62040354120
7346045125
oct121215000
944073123
1021305856
1111032450
127175940
13454c920
142b8874c
151d0cca6
hex1451a00

21305856 has 160 divisors (see below), whose sum is σ = 67370688. Its totient is φ = 5898240.

The previous prime is 21305839. The next prime is 21305857. The reversal of 21305856 is 65850312.

It is not an unprimeable number, because it can be changed into a prime (21305857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219600 + ... + 219696.

Almost surely, 221305856 is an apocalyptic number.

21305856 is a gapful number since it is divisible by the number (26) 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 21305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33685344).

21305856 is an abundant number, since it is smaller than the sum of its proper divisors (46064832).

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

21305856 is a wasteful number, since it uses less digits than its factorization.

21305856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 21305856 is about 4615.8266865211. The cubic root of 21305856 is about 277.2253853387.

The spelling of 21305856 in words is "twenty-one million, three hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 97 104 128 132 143 156 176 192 194 208 256 264 286 291 312 352 384 388 416 429 512 528 572 582 624 704 768 776 832 858 1056 1067 1144 1164 1248 1261 1408 1536 1552 1664 1716 2112 2134 2288 2328 2496 2522 2816 3104 3201 3328 3432 3783 4224 4268 4576 4656 4992 5044 5632 6208 6402 6656 6864 7566 8448 8536 9152 9312 9984 10088 12416 12804 13728 13871 15132 16896 17072 18304 18624 19968 20176 24832 25608 27456 27742 30264 34144 36608 37248 40352 41613 49664 51216 54912 55484 60528 68288 73216 74496 80704 83226 102432 109824 110968 121056 136576 148992 161408 166452 204864 219648 221936 242112 273152 322816 332904 409728 443872 484224 546304 645632 665808 819456 887744 968448 1331616 1638912 1775488 1936896 2663232 3550976 5326464 7101952 10652928 21305856