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13338020 = 225666901
BaseRepresentation
bin110010111000…
…010110100100
3221002122022202
4302320112210
511403304040
61153514032
7221241233
oct62702644
927078282
1013338020
117590063
124572918
1329c0027
141ab2b1a
151287015
hexcb85a4

13338020 has 12 divisors (see below), whose sum is σ = 28009884. Its totient is φ = 5335200.

The previous prime is 13338011. The next prime is 13338053. The reversal of 13338020 is 2083331.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 10407076 = 1712^2 + 3226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 666901 = 13338020 / (1 + 3 + 3 + 3 + 8 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 13337983 and 13338001.

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, 333431 + ... + 333470.

It is an arithmetic number, because the mean of its divisors is an integer number (2334157).

Almost surely, 213338020 is an apocalyptic number.

13338020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13338020 is an abundant number, since it is smaller than the sum of its proper divisors (14671864).

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

13338020 is a wasteful number, since it uses less digits than its factorization.

13338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666910 (or 666908 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13338020 is about 3652.1254085806. The cubic root of 13338020 is about 237.1540003335.

The spelling of 13338020 in words is "thirteen million, three hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 666901 1333802 2667604 3334505 6669010 13338020