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13145652 = 2234133121
BaseRepresentation
bin110010001001…
…011000110100
3220201212110000
4302021120310
511331130102
61145431300
7216510342
oct62113064
926655400
1013145652
117469583
12449b530
1329535c0
141a62992
15124a01c
hexc89634

13145652 has 60 divisors (see below), whose sum is σ = 37020676. Its totient is φ = 4043520.

The previous prime is 13145651. The next prime is 13145681. The reversal of 13145652 is 25654131.

13145652 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 12574116 = 756^2 + 3546^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (13145651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2652 + ... + 5772.

Almost surely, 213145652 is an apocalyptic number.

13145652 is a gapful number since it is divisible by the number (12) 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 13145652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510338).

13145652 is an abundant number, since it is smaller than the sum of its proper divisors (23875024).

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

13145652 is a wasteful number, since it uses less digits than its factorization.

13145652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3139 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 13145652 is about 3625.6933130093. The cubic root of 13145652 is about 236.0083545831.

Adding to 13145652 its reverse (25654131), we get a palindrome (38799783).

The spelling of 13145652 in words is "thirteen million, one hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 3121 4212 6242 9363 12484 18726 28089 37452 40573 56178 81146 84267 112356 121719 162292 168534 243438 252801 337068 365157 486876 505602 730314 1011204 1095471 1460628 2190942 3286413 4381884 6572826 13145652