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20330624 = 27295477
BaseRepresentation
bin100110110001…
…1100010000000
31102020220101002
41031203202000
520201034444
62003431132
7334543646
oct115434200
942226332
1020330624
1110526776
1269854a8
13429aa72
1429b3196
151bb8d4e
hex1363880

20330624 has 32 divisors (see below), whose sum is σ = 41906700. Its totient is φ = 9812992.

The previous prime is 20330591. The next prime is 20330647. The reversal of 20330624 is 42603302.

It can be written as a sum of positive squares in 2 ways, for example, as 17372224 + 2958400 = 4168^2 + 1720^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20330596 and 20330605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 974 + ... + 6450.

Almost surely, 220330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953350).

20330624 is an abundant number, since it is smaller than the sum of its proper divisors (21576076).

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

20330624 is an equidigital number, since it uses as much as digits as its factorization.

20330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 20330624 is about 4508.9493232903. The cubic root of 20330624 is about 272.9293470194.

Adding to 20330624 its reverse (42603302), we get a palindrome (62933926).

The spelling of 20330624 in words is "twenty million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 5477 10954 21908 43816 87632 158833 175264 317666 350528 635332 701056 1270664 2541328 5082656 10165312 20330624