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21732020 = 2252989421
BaseRepresentation
bin101001011100…
…1101010110100
31111220002201122
41102321222310
521030411040
62053443112
7352501442
oct122715264
944802648
1021732020
11112a3652
127340498
13466b8ab
142c59b92
151d941b5
hex14b9ab4

21732020 has 48 divisors (see below), whose sum is σ = 47854800. Its totient is φ = 8279040.

The previous prime is 21732017. The next prime is 21732037. The reversal of 21732020 is 2023712.

It can be written as a sum of positive squares in 8 ways, for example, as 6584356 + 15147664 = 2566^2 + 3892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21732020.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51410 + ... + 51830.

It is an arithmetic number, because the mean of its divisors is an integer number (996975).

Almost surely, 221732020 is an apocalyptic number.

21732020 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 21732020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927400).

21732020 is an abundant number, since it is smaller than the sum of its proper divisors (26122780).

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

21732020 is a wasteful number, since it uses less digits than its factorization.

21732020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 21732020 is about 4661.7614696593. The cubic root of 21732020 is about 279.0615692111.

Adding to 21732020 its reverse (2023712), we get a palindrome (23755732).

The spelling of 21732020 in words is "twenty-one million, seven hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 421 445 580 842 890 1684 1780 2105 2581 4210 5162 8420 10324 12209 12905 24418 25810 37469 48836 51620 61045 74938 122090 149876 187345 244180 374690 749380 1086601 2173202 4346404 5433005 10866010 21732020