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21276720 = 24325291019
BaseRepresentation
bin101000100101…
…0100000110000
31111000222011200
41101022200300
520421323340
62040011200
7345564153
oct121124060
944028150
1021276720
1111012573
127160b00
13453c59a
142b7bc9a
151d04330
hex144a830

21276720 has 120 divisors (see below), whose sum is σ = 73990800. Its totient is φ = 5472768.

The previous prime is 21276683. The next prime is 21276727. The reversal of 21276720 is 2767212.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (21276727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20371 + ... + 21389.

It is an arithmetic number, because the mean of its divisors is an integer number (616590).

Almost surely, 221276720 is an apocalyptic number.

21276720 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 21276720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36995400).

21276720 is an abundant number, since it is smaller than the sum of its proper divisors (52714080).

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

21276720 is a wasteful number, since it uses less digits than its factorization.

21276720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 21276720 is about 4612.6695090804. The cubic root of 21276720 is about 277.0989580702.

The spelling of 21276720 in words is "twenty-one million, two hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1019 1044 1160 1305 1392 1740 2038 2088 2320 2610 3057 3480 4076 4176 5095 5220 6114 6960 8152 9171 10190 10440 12228 15285 16304 18342 20380 20880 24456 29551 30570 36684 40760 45855 48912 59102 61140 73368 81520 88653 91710 118204 122280 146736 147755 177306 183420 236408 244560 265959 295510 354612 366840 443265 472816 531918 591020 709224 733680 886530 1063836 1182040 1329795 1418448 1773060 2127672 2364080 2659590 3546120 4255344 5319180 7092240 10638360 21276720