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13289820 = 2235221497
BaseRepresentation
bin110010101100…
…100101011100
3221000012012120
4302230211130
511400233240
61152502540
7220650555
oct62544534
927005176
1013289820
117557925
12454aa50
1329a40cb
141a9d32c
151277ad0
hexcac95c

13289820 has 24 divisors (see below), whose sum is σ = 37211664. Its totient is φ = 3543936.

The previous prime is 13289813. The next prime is 13289827. The reversal of 13289820 is 2898231.

13289820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13289813) and next prime (13289827).

It is a super-3 number, since 3×132898203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13289827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110689 + ... + 110808.

It is an arithmetic number, because the mean of its divisors is an integer number (1550486).

Almost surely, 213289820 is an apocalyptic number.

13289820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13289820 is an abundant number, since it is smaller than the sum of its proper divisors (23921844).

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

13289820 is a wasteful number, since it uses less digits than its factorization.

13289820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221509 (or 221507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13289820 is about 3645.5205389629. The cubic root of 13289820 is about 236.8679853721.

The spelling of 13289820 in words is "thirteen million, two hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 221497 442994 664491 885988 1107485 1328982 2214970 2657964 3322455 4429940 6644910 13289820