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13113765 = 335713877
BaseRepresentation
bin110010000001…
…100110100101
3220200020201000
4302001212211
511324120030
61145023513
7216315360
oct62014645
926606630
1013113765
117447625
124484b99
132941c32
141a550d7
151240860
hexc819a5

13113765 has 32 divisors (see below), whose sum is σ = 26645760. Its totient is φ = 5994432.

The previous prime is 13113733. The next prime is 13113769. The reversal of 13113765 is 56731131.

It is not a de Polignac number, because 13113765 - 25 = 13113733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5994 + ... + 7883.

It is an arithmetic number, because the mean of its divisors is an integer number (832680).

Almost surely, 213113765 is an apocalyptic number.

13113765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13113765 is an abundant number, since it is smaller than the sum of its proper divisors (13531995).

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

13113765 is a wasteful number, since it uses less digits than its factorization.

13113765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13898 (or 13892 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 13113765 is about 3621.2932772699. The cubic root of 13113765 is about 235.8173740347.

Adding to 13113765 its reverse (56731131), we get a palindrome (69844896).

The spelling of 13113765 in words is "thirteen million, one hundred thirteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 13877 41631 69385 97139 124893 208155 291417 374679 485695 624465 874251 1457085 1873395 2622753 4371255 13113765