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21606420 = 223511191723
BaseRepresentation
bin101001001101…
…1000000010100
31111122201102210
41102123000110
521012401140
62051033420
7351436323
oct122330024
944581383
1021606420
1111218250
12729b870
134626684
142c260ba
151d6bd80
hex149b014

21606420 has 96 divisors (see below), whose sum is σ = 69511680. Its totient is φ = 4959360.

The previous prime is 21606419. The next prime is 21606437. The reversal of 21606420 is 2460612.

It is a happy number.

It is a congruent number.

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, 11679 + ... + 13401.

It is an arithmetic number, because the mean of its divisors is an integer number (724080).

Almost surely, 221606420 is an apocalyptic number.

21606420 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 21606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34755840).

21606420 is an abundant number, since it is smaller than the sum of its proper divisors (47905260).

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

21606420 is a wasteful number, since it uses less digits than its factorization.

21606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21606420 is about 4648.2706461651. The cubic root of 21606420 is about 278.5229189506.

The spelling of 21606420 in words is "twenty-one million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 1723 2090 2508 3135 3446 4180 5169 6270 6892 8615 10338 12540 17230 18953 20676 25845 32737 34460 37906 51690 56859 65474 75812 94765 98211 103380 113718 130948 163685 189530 196422 227436 284295 327370 360107 379060 392844 491055 568590 654740 720214 982110 1080321 1137180 1440428 1800535 1964220 2160642 3601070 4321284 5401605 7202140 10803210 21606420