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21400020 = 22325611949
BaseRepresentation
bin101000110100…
…0100111010100
31111021020022100
41101220213110
520434300040
62042402100
7346616505
oct121504724
944236270
1021400020
1111097174
127200330
134583745
142bb0bac
151d2ab30
hex14689d4

21400020 has 72 divisors (see below), whose sum is σ = 66011400. Its totient is φ = 5610240.

The previous prime is 21400003. The next prime is 21400031. The reversal of 21400020 is 2000412.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 20684304 = 846^2 + 4548^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21399975 and 21400011.

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 23 ways as a sum of consecutive naturals, for example, 10006 + ... + 11954.

It is an arithmetic number, because the mean of its divisors is an integer number (916825).

Almost surely, 221400020 is an apocalyptic number.

21400020 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 21400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33005700).

21400020 is an abundant number, since it is smaller than the sum of its proper divisors (44611380).

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

21400020 is a wasteful number, since it uses less digits than its factorization.

21400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 21400020 is about 4626.0155641762. The cubic root of 21400020 is about 277.6331963446.

Adding to 21400020 its reverse (2000412), we get a palindrome (23400432).

The spelling of 21400020 in words is "twenty-one million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 1949 2196 2745 3660 3898 5490 5847 7796 9745 10980 11694 17541 19490 23388 29235 35082 38980 58470 70164 87705 116940 118889 175410 237778 350820 356667 475556 594445 713334 1070001 1188890 1426668 1783335 2140002 2377780 3566670 4280004 5350005 7133340 10700010 21400020