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21984001 = 132958313
BaseRepresentation
bin101001111011…
…1001100000001
31112100220101021
41103313030001
521111442001
62103105441
7354601204
oct123671401
945326337
1021984001
11114559a6
127442281
1347294b0
142cc393b
151de3ba1
hex14f7301

21984001 has 8 divisors (see below), whose sum is σ = 24491880. Its totient is φ = 19592832.

The previous prime is 21983999. The next prime is 21984073. The reversal of 21984001 is 10048912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2190400 + 19793601 = 1480^2 + 4449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21984001 - 21 = 21983999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21984091) 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, 28780 + ... + 29533.

It is an arithmetic number, because the mean of its divisors is an integer number (3061485).

Almost surely, 221984001 is an apocalyptic number.

It is an amenable number.

21984001 is a deficient number, since it is larger than the sum of its proper divisors (2507879).

21984001 is a wasteful number, since it uses less digits than its factorization.

21984001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58355.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21984001 is about 4688.7099505088. The cubic root of 21984001 is about 280.1359926128.

The spelling of 21984001 in words is "twenty-one million, nine hundred eighty-four thousand, one".

Divisors: 1 13 29 377 58313 758069 1691077 21984001