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20586397 = 132181673
BaseRepresentation
bin100111010000…
…1111110011101
31102201220020011
41032201332131
520232231042
62013123221
7336660436
oct116417635
942656204
1020586397
1110690957
126a89511
13435a300
142a3c48d
151c19a17
hex13a1f9d

20586397 has 12 divisors (see below), whose sum is σ = 22448244. Its totient is φ = 18869760.

The previous prime is 20586389. The next prime is 20586409. The reversal of 20586397 is 79368502.

It can be written as a sum of positive squares in 6 ways, for example, as 10982596 + 9603801 = 3314^2 + 3099^2 .

It is not a de Polignac number, because 20586397 - 23 = 20586389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20586497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30253 + ... + 30925.

It is an arithmetic number, because the mean of its divisors is an integer number (1870687).

Almost surely, 220586397 is an apocalyptic number.

It is an amenable number.

20586397 is a deficient number, since it is larger than the sum of its proper divisors (1861847).

20586397 is a wasteful number, since it uses less digits than its factorization.

20586397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 20586397 is about 4537.2234901975. The cubic root of 20586397 is about 274.0691258273.

The spelling of 20586397 in words is "twenty million, five hundred eighty-six thousand, three hundred ninety-seven".

Divisors: 1 13 169 181 673 2353 8749 30589 113737 121813 1583569 20586397