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21821490 = 2325376553
BaseRepresentation
bin101001100111…
…1100000110010
31112001122110100
41103033200302
521041241430
62055413230
7353323335
oct123174062
945048410
1021821490
1111354899
127384216
1346a0532
142c8061c
151db0960
hex14cf832

21821490 has 48 divisors (see below), whose sum is σ = 58278168. Its totient is φ = 5660928.

The previous prime is 21821479. The next prime is 21821507. The reversal of 21821490 is 9412812.

It can be written as a sum of positive squares in 4 ways, for example, as 19686969 + 2134521 = 4437^2 + 1461^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 6606.

Almost surely, 221821490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21821490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139084).

21821490 is an abundant number, since it is smaller than the sum of its proper divisors (36456678).

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

21821490 is a wasteful number, since it uses less digits than its factorization.

21821490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21821490 is about 4671.3477712540. The cubic root of 21821490 is about 279.4440072466. Note that the first 3 decimals are identical.

The spelling of 21821490 in words is "twenty-one million, eight hundred twenty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 6553 13106 19659 32765 39318 58977 65530 98295 117954 196590 242461 294885 484922 589770 727383 1212305 1454766 2182149 2424610 3636915 4364298 7273830 10910745 21821490