Search a number
-
+
13482060 = 2235376073
BaseRepresentation
bin110011011011…
…100001001100
3221100221220120
4303123201030
511422411220
61200544540
7222411204
oct63334114
927327816
1013482060
1176792a9
124622150
132a40767
141b0d404
1512b4a40
hexcdb84c

13482060 has 48 divisors (see below), whose sum is σ = 38776416. Its totient is φ = 3497472.

The previous prime is 13482059. The next prime is 13482083. The reversal of 13482060 is 6028431.

It is a happy number.

13482060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13482060.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (807842).

Almost surely, 213482060 is an apocalyptic number.

13482060 is a gapful number since it is divisible by the number (10) 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 13482060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388208).

13482060 is an abundant number, since it is smaller than the sum of its proper divisors (25294356).

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

13482060 is a wasteful number, since it uses less digits than its factorization.

13482060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13482060 is about 3671.7924777961. The cubic root of 13482060 is about 238.0046370586.

The spelling of 13482060 in words is "thirteen million, four hundred eighty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6073 12146 18219 24292 30365 36438 60730 72876 91095 121460 182190 224701 364380 449402 674103 898804 1123505 1348206 2247010 2696412 3370515 4494020 6741030 13482060