Search a number
-
+
13077232 = 247591979
BaseRepresentation
bin110001111000…
…101011110000
3220121101120221
4301320223300
511321432412
61144142424
7216104020
oct61705360
926541527
1013077232
117422133
124467a14
13292b40c
141a45a80
151234b07
hexc78af0

13077232 has 40 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 5506752.

The previous prime is 13077227. The next prime is 13077287. The reversal of 13077232 is 23277031.

13077232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13077197 and 13077206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5619 + ... + 7597.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 213077232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13077232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

13077232 is an abundant number, since it is smaller than the sum of its proper divisors (16385168).

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

13077232 is a wasteful number, since it uses less digits than its factorization.

13077232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 13077232 is about 3616.2455668829. The cubic root of 13077232 is about 235.5981863166.

The spelling of 13077232 in words is "thirteen million, seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 1979 3304 3958 6608 7916 13853 15832 27706 31664 55412 110824 116761 221648 233522 467044 817327 934088 1634654 1868176 3269308 6538616 13077232