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20460864 = 263611747
BaseRepresentation
bin100111000001…
…1010101000000
31102111112000210
41032003111000
520214221424
62010314120
7335625444
oct116032500
942445023
1020460864
1110605606
126a28940
134315128
142a08824
151be2729
hex1383540

20460864 has 56 divisors (see below), whose sum is σ = 55055008. Its totient is φ = 6704640.

The previous prime is 20460859. The next prime is 20460871. The reversal of 20460864 is 46806402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10839 + ... + 12585.

Almost surely, 220460864 is an apocalyptic number.

20460864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527504).

20460864 is an abundant number, since it is smaller than the sum of its proper divisors (34594144).

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

20460864 is a wasteful number, since it uses less digits than its factorization.

20460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20460864 is about 4523.3686562119. The cubic root of 20460864 is about 273.5109111126.

The spelling of 20460864 in words is "twenty million, four hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1747 1952 2928 3494 3904 5241 5856 6988 10482 11712 13976 20964 27952 41928 55904 83856 106567 111808 167712 213134 319701 335424 426268 639402 852536 1278804 1705072 2557608 3410144 5115216 6820288 10230432 20460864