Search a number
-
+
13014048 = 253314373
BaseRepresentation
bin110001101001…
…010000100000
3220111011220210
4301221100200
511312422143
61142534120
7215421555
oct61512040
926434823
1013014048
117389713
124437340
132908728
141a2aa2c
151221033
hexc69420

13014048 has 48 divisors (see below), whose sum is σ = 35271936. Its totient is φ = 4197120.

The previous prime is 13014007. The next prime is 13014049. The reversal of 13014048 is 84041031.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13014049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (734832).

Almost surely, 213014048 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 13014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968).

13014048 is an abundant number, since it is smaller than the sum of its proper divisors (22257888).

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

13014048 is a wasteful number, since it uses less digits than its factorization.

13014048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13014048 is about 3607.4988565487. The cubic root of 13014048 is about 235.2181345636.

Adding to 13014048 its reverse (84041031), we get a palindrome (97055079).

The spelling of 13014048 in words is "thirteen million, fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4373 8746 13119 17492 26238 34984 52476 69968 104952 135563 139936 209904 271126 406689 419808 542252 813378 1084504 1626756 2169008 3253512 4338016 6507024 13014048