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21744820 = 2251087241
BaseRepresentation
bin101001011110…
…0110010110100
31111220202021201
41102330302310
521031313240
62054022244
7352553656
oct122746264
944822251
1021744820
1111302229
127347984
134674676
142c606d6
151d97d9a
hex14bccb4

21744820 has 12 divisors (see below), whose sum is σ = 45664164. Its totient is φ = 8697920.

The previous prime is 21744817. The next prime is 21744823. The reversal of 21744820 is 2844712.

It is an interprime number because it is at equal distance from previous prime (21744817) and next prime (21744823).

It can be written as a sum of positive squares in 2 ways, for example, as 9759376 + 11985444 = 3124^2 + 3462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21744823) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 543601 + ... + 543640.

It is an arithmetic number, because the mean of its divisors is an integer number (3805347).

Almost surely, 221744820 is an apocalyptic number.

21744820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21744820 is an abundant number, since it is smaller than the sum of its proper divisors (23919344).

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

21744820 is a wasteful number, since it uses less digits than its factorization.

21744820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087250 (or 1087248 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 21744820 is about 4663.1341391815. The cubic root of 21744820 is about 279.1163468622.

The spelling of 21744820 in words is "twenty-one million, seven hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1087241 2174482 4348964 5436205 10872410 21744820