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21283020 = 22335113583
BaseRepresentation
bin101000100110…
…0000011001100
31111001021211000
41101030003030
520422024040
62040100300
7345621423
oct121140314
944037730
1021283020
1111017280
127164690
134542405
142b802ba
151d06130
hex144c0cc

21283020 has 96 divisors (see below), whose sum is σ = 72253440. Its totient is φ = 5158080.

The previous prime is 21283001. The next prime is 21283033. The reversal of 21283020 is 2038212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21282984 and 21283002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 221283020 is an apocalyptic number.

21283020 is a gapful number since it is divisible by the number (20) 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 21283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36126720).

21283020 is an abundant number, since it is smaller than the sum of its proper divisors (50970420).

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

21283020 is a wasteful number, since it uses less digits than its factorization.

21283020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21283020 is about 4613.3523602690. The cubic root of 21283020 is about 277.1263048787.

The spelling of 21283020 in words is "twenty-one million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3583 5940 7166 10749 14332 17915 21498 32247 35830 39413 42996 53745 64494 71660 78826 96741 107490 118239 128988 157652 161235 193482 197065 214980 236478 322470 354717 386964 394130 472956 483705 591195 644940 709434 788260 967410 1064151 1182390 1418868 1773585 1934820 2128302 2364780 3547170 4256604 5320755 7094340 10641510 21283020