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20479120 = 245255989
BaseRepresentation
bin100111000011…
…1110010010000
31102112110001221
41032013302100
520220312440
62010534424
7336032614
oct116076220
942473057
1020479120
11106182a2
126a37414
13432052c
142a11344
151be7d4a
hex1387c90

20479120 has 20 divisors (see below), whose sum is σ = 47614140. Its totient is φ = 8191616.

The previous prime is 20479117. The next prime is 20479139. The reversal of 20479120 is 2197402.

It can be written as a sum of positive squares in 2 ways, for example, as 7862416 + 12616704 = 2804^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 127915 + ... + 128074.

It is an arithmetic number, because the mean of its divisors is an integer number (2380707).

Almost surely, 220479120 is an apocalyptic number.

20479120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20479120 is an abundant number, since it is smaller than the sum of its proper divisors (27135020).

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

20479120 is a wasteful number, since it uses less digits than its factorization.

20479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256002 (or 255996 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 20479120 is about 4525.3861713670. The cubic root of 20479120 is about 273.5922327173.

The spelling of 20479120 in words is "twenty million, four hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 255989 511978 1023956 1279945 2047912 2559890 4095824 5119780 10239560 20479120