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21621880 = 2357314753
BaseRepresentation
bin101001001111…
…0110001111000
31111200111122101
41102132301320
521013400010
62051233144
7351532360
oct122366170
944614571
1021621880
1111228925
1272a87b4
134630717
142c2b9a0
151d7173a
hex149ec78

21621880 has 128 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 6888960.

The previous prime is 21621871. The next prime is 21621881. The reversal of 21621880 is 8812612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21621881) 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 31 ways as a sum of consecutive naturals, for example, 407934 + ... + 407986.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 221621880 is an apocalyptic number.

21621880 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 21621880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).

21621880 is an abundant number, since it is smaller than the sum of its proper divisors (38097800).

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

21621880 is a wasteful number, since it uses less digits than its factorization.

21621880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 21621880 is about 4649.9333328554. The cubic root of 21621880 is about 278.5893334348.

The spelling of 21621880 in words is "twenty-one million, six hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 47 53 56 62 70 94 106 124 140 155 188 212 217 235 248 265 280 310 329 371 376 424 434 470 530 620 658 742 868 940 1060 1085 1240 1316 1457 1484 1643 1645 1736 1855 1880 2120 2170 2491 2632 2914 2968 3286 3290 3710 4340 4982 5828 6572 6580 7285 7420 8215 8680 9964 10199 11501 11656 12455 13144 13160 14570 14840 16430 17437 19928 20398 23002 24910 29140 32860 34874 40796 46004 49820 50995 57505 58280 65720 69748 77221 81592 87185 92008 99640 101990 115010 139496 154442 174370 203980 230020 308884 348740 386105 407960 460040 540547 617768 697480 772210 1081094 1544420 2162188 2702735 3088840 4324376 5405470 10810940 21621880