Search a number
-
+
13601232 = 2432293257
BaseRepresentation
bin110011111000…
…100111010000
3221121000101100
4303320213100
511440214412
61203304400
7223415511
oct63704720
927530340
1013601232
11774a897
12467b100
132a82a88
141b40a08
1512d9edc
hexcf89d0

13601232 has 60 divisors (see below), whose sum is σ = 39389220. Its totient is φ = 4376064.

The previous prime is 13601227. The next prime is 13601239. The reversal of 13601232 is 23210631.

13601232 is digitally balanced in base 2, because in such base 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 9585216 + 4016016 = 3096^2 + 2004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13601239) 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, 2548 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (656487).

Almost surely, 213601232 is an apocalyptic number.

13601232 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 13601232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694610).

13601232 is an abundant number, since it is smaller than the sum of its proper divisors (25787988).

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

13601232 is a wasteful number, since it uses less digits than its factorization.

13601232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13601232 is about 3687.9848155870. The cubic root of 13601232 is about 238.7038458702.

Adding to 13601232 its reverse (23210631), we get a palindrome (36811863).

The spelling of 13601232 in words is "thirteen million, six hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3257 4176 6514 9771 13028 19542 26056 29313 39084 52112 58626 78168 94453 117252 156336 188906 234504 283359 377812 469008 566718 755624 850077 1133436 1511248 1700154 2266872 3400308 4533744 6800616 13601232