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20300553 = 3272133541
BaseRepresentation
bin100110101110…
…0001100001001
31102012101010100
41031130030021
520144104203
62003040013
7334360200
oct115341411
942171110
1020300553
1110506119
126970009
13428a180
1429a6237
151baeea3
hex135c309

20300553 has 36 divisors (see below), whose sum is σ = 36744708. Its totient is φ = 10704960.

The previous prime is 20300519. The next prime is 20300557. The reversal of 20300553 is 35500302.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 14768649 = 2352^2 + 3843^2 .

It is not a de Polignac number, because 20300553 - 29 = 20300041 is a prime.

It is a super-2 number, since 2×203005532 = 824224904211618, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20300557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3963 + ... + 7503.

Almost surely, 220300553 is an apocalyptic number.

It is an amenable number.

20300553 is a deficient number, since it is larger than the sum of its proper divisors (16444155).

20300553 is a wasteful number, since it uses less digits than its factorization.

20300553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 20300553 is about 4505.6134987369. The cubic root of 20300553 is about 272.7947174712.

Adding to 20300553 its reverse (35500302), we get a palindrome (55800855).

The spelling of 20300553 in words is "twenty million, three hundred thousand, five hundred fifty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 3541 5733 10623 24787 31869 46033 74361 138099 173509 223083 322231 414297 520527 966693 1561581 2255617 2900079 6766851 20300553