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21987420 = 22357134027
BaseRepresentation
bin101001111100…
…0000001011100
31112101002001220
41103320001130
521112044140
62103133340
7354614160
oct123700134
945332056
1021987420
1111458524
127444250
13472ac10
142cc4ca0
151de4bd0
hex14f805c

21987420 has 96 divisors (see below), whose sum is σ = 75790848. Its totient is φ = 4637952.

The previous prime is 21987403. The next prime is 21987461. The reversal of 21987420 is 2478912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3447 + ... + 7473.

It is an arithmetic number, because the mean of its divisors is an integer number (789488).

Almost surely, 221987420 is an apocalyptic number.

21987420 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 21987420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895424).

21987420 is an abundant number, since it is smaller than the sum of its proper divisors (53803428).

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

21987420 is a wasteful number, since it uses less digits than its factorization.

21987420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 21987420 is about 4689.0745355560. The cubic root of 21987420 is about 280.1505143145.

The spelling of 21987420 in words is "twenty-one million, nine hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4027 5460 8054 12081 16108 20135 24162 28189 40270 48324 52351 56378 60405 80540 84567 104702 112756 120810 140945 157053 169134 209404 241620 261755 281890 314106 338268 366457 422835 523510 563780 628212 732914 785265 845670 1047020 1099371 1465828 1570530 1691340 1832285 2198742 3141060 3664570 4397484 5496855 7329140 10993710 21987420