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21684020 = 2255212081
BaseRepresentation
bin101001010110…
…1111100110100
31111210122212212
41102231330310
521022342040
62052432552
7352211501
oct122557464
944718785
1021684020
1111270586
127318758
134652aa7
142c464a8
151d84d65
hex14adf34

21684020 has 24 divisors (see below), whose sum is σ = 45645768. Its totient is φ = 8652800.

The previous prime is 21684017. The next prime is 21684023. The reversal of 21684020 is 2048612.

It is an interprime number because it is at equal distance from previous prime (21684017) and next prime (21684023).

It can be written as a sum of positive squares in 4 ways, for example, as 487204 + 21196816 = 698^2 + 4604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21684023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9380 + ... + 11460.

It is an arithmetic number, because the mean of its divisors is an integer number (1901907).

Almost surely, 221684020 is an apocalyptic number.

21684020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21684020 is an abundant number, since it is smaller than the sum of its proper divisors (23961748).

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

21684020 is a wasteful number, since it uses less digits than its factorization.

21684020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 21684020 is about 4656.6103551833. The cubic root of 21684020 is about 278.8559612441.

The spelling of 21684020 in words is "twenty-one million, six hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 521 1042 2081 2084 2605 4162 5210 8324 10405 10420 20810 41620 1084201 2168402 4336804 5421005 10842010 21684020