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20310864 = 243760449
BaseRepresentation
bin100110101111…
…0101101010000
31102012220021020
41031132231100
520144421424
62003155440
7334432230
oct115365520
942186236
1020310864
1110512942
126975b80
134291a82
1429a9cc0
151bb3079
hex135eb50

20310864 has 40 divisors (see below), whose sum is σ = 59966400. Its totient is φ = 5803008.

The previous prime is 20310841. The next prime is 20310877. The reversal of 20310864 is 46801302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29889 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (1499160).

Almost surely, 220310864 is an apocalyptic number.

20310864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20310864 is an abundant number, since it is smaller than the sum of its proper divisors (39655536).

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

20310864 is a wasteful number, since it uses less digits than its factorization.

20310864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60467 (or 60461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20310864 is about 4506.7575927711. The cubic root of 20310864 is about 272.8408953635.

The spelling of 20310864 in words is "twenty million, three hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 60449 120898 181347 241796 362694 423143 483592 725388 846286 967184 1269429 1450776 1692572 2538858 2901552 3385144 5077716 6770288 10155432 20310864