Search a number
-
+
13235040 = 25325713101
BaseRepresentation
bin110010011111…
…001101100000
3220220102001200
4302133031200
511342010130
61151401200
7220332060
oct62371540
926812050
1013235040
11751a755
124523200
1329851b0
141a873a0
151266760
hexc9f360

13235040 has 288 divisors, whose sum is σ = 56137536. Its totient is φ = 2764800.

The previous prime is 13235023. The next prime is 13235041. The reversal of 13235040 is 4053231.

13235040 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

13235040 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130990 + ... + 131090.

It is an arithmetic number, because the mean of its divisors is an integer number (194922).

Almost surely, 213235040 is an apocalyptic number.

13235040 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 13235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768).

13235040 is an abundant number, since it is smaller than the sum of its proper divisors (42902496).

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

13235040 is a wasteful number, since it uses less digits than its factorization.

13235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13235040 is about 3637.9994502473. Note that the first 3 decimals coincide. The cubic root of 13235040 is about 236.5420843570.

Adding to 13235040 its reverse (4053231), we get a palindrome (17288271).

The spelling of 13235040 in words is "thirteen million, two hundred thirty-five thousand, forty".