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13035969 = 3210114341
BaseRepresentation
bin110001101110…
…100111000001
3220112021222200
4301232213001
511314122334
61143223413
7215542512
oct61564701
926467880
1013035969
1173a4131
124447b69
1329156bb
141a34a09
151227799
hexc6e9c1

13035969 has 12 divisors (see below), whose sum is σ = 19017492. Its totient is φ = 8604000.

The previous prime is 13035959. The next prime is 13035973. The reversal of 13035969 is 96953031.

13035969 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 can be written as a sum of positive squares in 2 ways, for example, as 6066369 + 6969600 = 2463^2 + 2640^2 .

It is not a de Polignac number, because 13035969 - 28 = 13035713 is a prime.

It is a super-2 number, since 2×130359692 = 339872975537922, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035959) 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, 6262 + ... + 8079.

It is an arithmetic number, because the mean of its divisors is an integer number (1584791).

Almost surely, 213035969 is an apocalyptic number.

It is an amenable number.

13035969 is a deficient number, since it is larger than the sum of its proper divisors (5981523).

13035969 is a wasteful number, since it uses less digits than its factorization.

13035969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13035969 is about 3610.5358328093. The cubic root of 13035969 is about 235.3501284513.

The spelling of 13035969 in words is "thirteen million, thirty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 101 303 909 14341 43023 129069 1448441 4345323 13035969