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13045136 = 2413591063
BaseRepresentation
bin110001110000…
…110110010000
3220112202120012
4301300312100
511314421021
61143334052
7215611316
oct61606620
926482505
1013045136
117400005
124451328
132919920
141a380b6
15122a35b
hexc70d90

13045136 has 40 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 5913216.

The previous prime is 13045091. The next prime is 13045139. The reversal of 13045136 is 63154031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13045139) 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, 11741 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 213045136 is an apocalyptic number.

13045136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

13045136 is an abundant number, since it is smaller than the sum of its proper divisors (14661424).

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

13045136 is a wasteful number, since it uses less digits than its factorization.

13045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13045136 is about 3611.8050888718. The cubic root of 13045136 is about 235.4052822368.

Adding to 13045136 its reverse (63154031), we get a palindrome (76199167).

The spelling of 13045136 in words is "thirteen million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 1063 1534 2126 3068 4252 6136 8504 12272 13819 17008 27638 55276 62717 110552 125434 221104 250868 501736 815321 1003472 1630642 3261284 6522568 13045136