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13005990 = 2325144511
BaseRepresentation
bin110001100111…
…010010100110
3220110202212100
4301213102212
511312142430
61142432530
7215356224
oct61472246
926422770
1013005990
117383658
124432746
132904b6a
141a27b14
15121d960
hexc674a6

13005990 has 24 divisors (see below), whose sum is σ = 33815808. Its totient is φ = 3468240.

The previous prime is 13005931. The next prime is 13005997. The reversal of 13005990 is 9950031.

13005990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72166 + ... + 72345.

It is an arithmetic number, because the mean of its divisors is an integer number (1408992).

Almost surely, 213005990 is an apocalyptic number.

13005990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005990 is an abundant number, since it is smaller than the sum of its proper divisors (20809818).

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

13005990 is a wasteful number, since it uses less digits than its factorization.

13005990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144524 (or 144521 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 13005990 is about 3606.3818433438. The cubic root of 13005990 is about 235.1695773159.

The spelling of 13005990 in words is "thirteen million, five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 144511 289022 433533 722555 867066 1300599 1445110 2167665 2601198 4335330 6502995 13005990