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21421620 = 223251131349
BaseRepresentation
bin101000110110…
…1111000110100
31111022022221100
41101231320310
520440442440
62043050100
7350036463
oct121557064
944268840
1021421620
1111101420
127210930
13459051c
142bb89da
151d32230
hex146de34

21421620 has 144 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 5011200.

The previous prime is 21421619. The next prime is 21421627. The reversal of 21421620 is 2612412.

21421620 is a `hidden beast` number, since 2 + 1 + 42 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21421593 and 21421602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61206 + ... + 61554.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 221421620 is an apocalyptic number.

21421620 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 21421620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

21421620 is an abundant number, since it is smaller than the sum of its proper divisors (51960780).

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

21421620 is a wasteful number, since it uses less digits than its factorization.

21421620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21421620 is about 4628.3495978588. The cubic root of 21421620 is about 277.7265741472.

The spelling of 21421620 in words is "twenty-one million, four hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 349 372 396 465 495 558 620 660 682 698 930 990 1023 1047 1116 1364 1395 1396 1705 1745 1860 1980 2046 2094 2790 3069 3141 3410 3490 3839 4092 4188 5115 5235 5580 6138 6282 6820 6980 7678 10230 10470 10819 11517 12276 12564 15345 15356 15705 19195 20460 20940 21638 23034 30690 31410 32457 34551 38390 43276 46068 54095 57585 61380 62820 64914 69102 76780 97371 108190 115170 119009 129828 138204 162285 172755 194742 216380 230340 238018 324570 345510 357027 389484 476036 486855 595045 649140 691020 714054 973710 1071081 1190090 1428108 1785135 1947420 2142162 2380180 3570270 4284324 5355405 7140540 10710810 21421620