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20985825 = 352771563
BaseRepresentation
bin101000000001…
…1011111100001
31110111012010210
41100003133201
520333021300
62025444333
7343243110
oct120033741
943435123
1020985825
1110933a63
1270406a9
13446a063
142b03c77
151c98050
hex14037e1

20985825 has 48 divisors (see below), whose sum is σ = 40283136. Its totient is φ = 9441600.

The previous prime is 20985799. The next prime is 20985847. The reversal of 20985825 is 52858902.

It is not a de Polignac number, because 20985825 - 25 = 20985793 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36994 + ... + 37556.

It is an arithmetic number, because the mean of its divisors is an integer number (839232).

Almost surely, 220985825 is an apocalyptic number.

20985825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20985825 is a deficient number, since it is larger than the sum of its proper divisors (19297311).

20985825 is a wasteful number, since it uses less digits than its factorization.

20985825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 20985825 is about 4581.0288145787. The cubic root of 20985825 is about 275.8303278718.

The spelling of 20985825 in words is "twenty million, nine hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 71 75 105 175 213 355 497 525 563 1065 1491 1689 1775 2485 2815 3941 5325 7455 8445 11823 12425 14075 19705 37275 39973 42225 59115 98525 119919 199865 279811 295575 599595 839433 999325 1399055 2997975 4197165 6995275 20985825