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20675120 = 2451092371
BaseRepresentation
bin100111011011…
…1101000110000
31102220101221012
41032313220300
520243100440
62015050052
7340510214
oct116675060
942811835
1020675120
1110741584
126b10928
13438b7cb
142a62944
151c35e65
hex13b7a30

20675120 has 40 divisors (see below), whose sum is σ = 48531120. Its totient is φ = 8190720.

The previous prime is 20675117. The next prime is 20675143. The reversal of 20675120 is 2157602.

It is a tau number, because it is divible by the number of its divisors (40).

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, 7535 + ... + 9905.

It is an arithmetic number, because the mean of its divisors is an integer number (1213278).

Almost surely, 220675120 is an apocalyptic number.

20675120 is a gapful number since it is divisible by the number (20) 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 20675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24265560).

20675120 is an abundant number, since it is smaller than the sum of its proper divisors (27856000).

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

20675120 is a wasteful number, since it uses less digits than its factorization.

20675120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20675120 is about 4546.9902133169. The cubic root of 20675120 is about 274.4622881317.

The spelling of 20675120 in words is "twenty million, six hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 2371 4360 4742 8720 9484 11855 18968 23710 37936 47420 94840 189680 258439 516878 1033756 1292195 2067512 2584390 4135024 5168780 10337560 20675120