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21491820 = 22325737461
BaseRepresentation
bin101000111111…
…1000001101100
31111102220020100
41101333001230
521000214240
62044351100
7350451240
oct121770154
944386210
1021491820
111114a139
127245490
1345b646c
142bd6420
151d47e30
hex147f06c

21491820 has 144 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 4769280.

The previous prime is 21491819. The next prime is 21491837. The reversal of 21491820 is 2819412.

It is a congruent number.

It is an unprimeable number.

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, 46390 + ... + 46850.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 221491820 is an apocalyptic number.

21491820 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 21491820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304).

21491820 is an abundant number, since it is smaller than the sum of its proper divisors (55192788).

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

21491820 is a wasteful number, since it uses less digits than its factorization.

21491820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

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

The square root of 21491820 is about 4635.9270917477. The cubic root of 21491820 is about 278.0296191894.

It can be divided in two parts, 2149 and 1820, that added together give a square (3969 = 632).

The spelling of 21491820 in words is "twenty-one million, four hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 461 518 555 630 666 740 777 922 1036 1110 1260 1295 1332 1383 1554 1665 1844 2220 2305 2331 2590 2766 3108 3227 3330 3885 4149 4610 4662 5180 5532 6454 6660 6915 7770 8298 9220 9324 9681 11655 12908 13830 15540 16135 16596 17057 19362 20745 23310 27660 29043 32270 34114 38724 41490 46620 48405 51171 58086 64540 68228 82980 85285 96810 102342 116172 119399 145215 153513 170570 193620 204684 238798 255855 290430 307026 341140 358197 477596 511710 580860 596995 614052 716394 767565 1023420 1074591 1193990 1432788 1535130 1790985 2149182 2387980 3070260 3581970 4298364 5372955 7163940 10745910 21491820