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20685632 = 261129383
BaseRepresentation
bin100111011101…
…0001101000000
31102220221100112
41032322031000
520243420012
62015210452
7340552652
oct116721500
942827315
1020685632
1110749470
126b16a28
134393526
142a666d2
151c39122
hex13ba340

20685632 has 28 divisors (see below), whose sum is σ = 44781216. Its totient is φ = 9402240.

The previous prime is 20685631. The next prime is 20685653. The reversal of 20685632 is 23658602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20685631) 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 3 ways as a sum of consecutive naturals, for example, 13988 + ... + 15395.

Almost surely, 220685632 is an apocalyptic number.

20685632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20685632 is an abundant number, since it is smaller than the sum of its proper divisors (24095584).

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

20685632 is a wasteful number, since it uses less digits than its factorization.

20685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29406 (or 29396 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 20685632 is about 4548.1459958977. The cubic root of 20685632 is about 274.5087958624.

It can be divided in two parts, 2068563 and 2, that multiplied together give a triangular number (4137126 = T2876).

The spelling of 20685632 in words is "twenty million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 29383 58766 117532 235064 323213 470128 646426 940256 1292852 1880512 2585704 5171408 10342816 20685632