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20582401 = 73232609
BaseRepresentation
bin100111010000…
…1000000000001
31102201200202011
41032201000001
520232114101
62013052521
7336643000
oct116410001
942650664
1020582401
1110688954
126a87141
134358548
142a3ac37
151c18751
hex13a1001

20582401 has 16 divisors (see below), whose sum is σ = 25056000. Its totient is φ = 16868544.

The previous prime is 20582399. The next prime is 20582473. The reversal of 20582401 is 10428502.

It is not a de Polignac number, because 20582401 - 21 = 20582399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20583401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6585 + ... + 9193.

It is an arithmetic number, because the mean of its divisors is an integer number (1566000).

Almost surely, 220582401 is an apocalyptic number.

It is an amenable number.

20582401 is a deficient number, since it is larger than the sum of its proper divisors (4473599).

20582401 is an equidigital number, since it uses as much as digits as its factorization.

20582401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 20582401 is about 4536.7831114128. The cubic root of 20582401 is about 274.0513916071.

The spelling of 20582401 in words is "twenty million, five hundred eighty-two thousand, four hundred one".

Divisors: 1 7 23 49 161 343 1127 2609 7889 18263 60007 127841 420049 894887 2940343 20582401