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20682431 = 7111967211
BaseRepresentation
bin100111011100…
…1011010111111
31102220202221222
41032321122333
520243314211
62015143555
7340540430
oct116713277
942822858
1020682431
1110747020
126b14bbb
134391c33
142a65487
151c381db
hex13b96bf

20682431 has 32 divisors (see below), whose sum is σ = 27678720. Its totient is φ = 14968800.

The previous prime is 20682427. The next prime is 20682461. The reversal of 20682431 is 13428602.

It is not a de Polignac number, because 20682431 - 22 = 20682427 is a prime.

It is a super-2 number, since 2×206824312 = 855525904139522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20682431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20682461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97916 + ... + 98126.

It is an arithmetic number, because the mean of its divisors is an integer number (864960).

Almost surely, 220682431 is an apocalyptic number.

20682431 is a deficient number, since it is larger than the sum of its proper divisors (6996289).

20682431 is a wasteful number, since it uses less digits than its factorization.

20682431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 20682431 is about 4547.7940806505. The cubic root of 20682431 is about 274.4946355024.

The spelling of 20682431 in words is "twenty million, six hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 19 67 77 133 209 211 469 737 1273 1463 1477 2321 4009 5159 8911 14003 14137 16247 28063 44099 98021 98959 155507 268603 308693 1088549 1880221 2954633 20682431