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21620820 = 22351353523
BaseRepresentation
bin101001001111…
…0100001010100
31111200110012010
41102132201110
521013331240
62051224220
7351526314
oct122364124
944613163
1021620820
1111228051
1272a8070
1346300b0
142c2b444
151d71280
hex149e854

21620820 has 96 divisors (see below), whose sum is σ = 66552192. Its totient is φ = 5211648.

The previous prime is 21620801. The next prime is 21620827. The reversal of 21620820 is 2802612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21620827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41079 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (693252).

Almost surely, 221620820 is an apocalyptic number.

21620820 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 21620820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276096).

21620820 is an abundant number, since it is smaller than the sum of its proper divisors (44931372).

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

21620820 is a wasteful number, since it uses less digits than its factorization.

21620820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21620820 is about 4649.8193513297. The cubic root of 21620820 is about 278.5847808008.

The spelling of 21620820 in words is "twenty-one million, six hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 523 530 636 689 780 795 1046 1060 1378 1569 1590 2067 2092 2615 2756 3138 3180 3445 4134 5230 6276 6799 6890 7845 8268 10335 10460 13598 13780 15690 20397 20670 27196 27719 31380 33995 40794 41340 55438 67990 81588 83157 101985 110876 135980 138595 166314 203970 277190 332628 360347 407940 415785 554380 720694 831570 1081041 1441388 1663140 1801735 2162082 3603470 4324164 5405205 7206940 10810410 21620820