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13289590 = 2510311289
BaseRepresentation
bin110010101100…
…100001110110
3221000011220001
4302230201312
511400231330
61152501514
7220650106
oct62544166
927004801
1013289590
117557736
12454a89a
1329a3c82
141a9d206
1512779ca
hexcac876

13289590 has 16 divisors (see below), whose sum is σ = 23963040. Its totient is φ = 5306560.

The previous prime is 13289581. The next prime is 13289593. The reversal of 13289590 is 9598231.

13289590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13289590 is a nontrivial binomial coefficient, being equal to C(5156, 2).

It is a super-2 number, since 2×132895902 = 353226404736200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13289593) 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, 9666 + ... + 10954.

It is an arithmetic number, because the mean of its divisors is an integer number (1497690).

Almost surely, 213289590 is an apocalyptic number.

13289590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13289590 is the 5155-th triangular number and also the 2578-th hexagonal number.

13289590 is the 1719-th centered nonagonal number.

13289590 is a deficient number, since it is larger than the sum of its proper divisors (10673450).

13289590 is a wasteful number, since it uses less digits than its factorization.

13289590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 13289590 is about 3645.4889932628. The cubic root of 13289590 is about 236.8666189139.

The spelling of 13289590 in words is "thirteen million, two hundred eighty-nine thousand, five hundred ninety".

Divisors: 1 2 5 10 1031 1289 2062 2578 5155 6445 10310 12890 1328959 2657918 6644795 13289590