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21499920 = 24325132297
BaseRepresentation
bin101001000000…
…1000000010000
31111110022100100
41102001000100
521000444140
62044452400
7350513661
oct122010020
944408310
1021499920
1111155232
12724a100
1345ba060
142bd9368
151d4a530
hex1481010

21499920 has 120 divisors (see below), whose sum is σ = 77791896. Its totient is φ = 5289984.

The previous prime is 21499913. The next prime is 21499937. The reversal of 21499920 is 2999412.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 21233664 = 516^2 + 4608^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8212 + ... + 10508.

Almost surely, 221499920 is an apocalyptic number.

21499920 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 21499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38895948).

21499920 is an abundant number, since it is smaller than the sum of its proper divisors (56291976).

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

21499920 is a wasteful number, since it uses less digits than its factorization.

21499920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 21499920 is about 4636.8006211180. The cubic root of 21499920 is about 278.0645434390.

The spelling of 21499920 in words is "twenty-one million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2297 2340 3120 4594 4680 6891 9188 9360 11485 13782 18376 20673 22970 27564 29861 34455 36752 41346 45940 55128 59722 68910 82692 89583 91880 103365 110256 119444 137820 149305 165384 179166 183760 206730 238888 268749 275640 298610 330768 358332 413460 447915 477776 537498 551280 597220 716664 826920 895830 1074996 1194440 1343745 1433328 1653840 1791660 2149992 2388880 2687490 3583320 4299984 5374980 7166640 10749960 21499920