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13443132 = 2232353919
BaseRepresentation
bin110011010010…
…000000111100
3221021222111210
4303102000330
511420140012
61200044420
7222156543
oct63220074
927258453
1013443132
11765202a
124603710
132a28b21
141add15a
1512a823c
hexcd203c

13443132 has 48 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 4200768.

The previous prime is 13443113. The next prime is 13443137. The reversal of 13443132 is 23134431.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13443099 and 13443108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14169 + ... + 15087.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 213443132 is an apocalyptic number.

13443132 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 13443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

13443132 is an abundant number, since it is smaller than the sum of its proper divisors (19941828).

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

13443132 is a wasteful number, since it uses less digits than its factorization.

13443132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 13443132 is about 3666.4876926017. The cubic root of 13443132 is about 237.7753452907.

Adding to 13443132 its reverse (23134431), we get a palindrome (36577563).

The spelling of 13443132 in words is "thirteen million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 919 1219 1838 2438 2757 3657 3676 4876 5514 7314 11028 14628 21137 42274 48707 63411 84548 97414 126822 146121 194828 253644 292242 584484 1120261 2240522 3360783 4481044 6721566 13443132