Search a number
-
+
13963950 = 232527111331
BaseRepresentation
bin110101010001…
…001010101110
3222021102221100
4311101022232
512033321300
61215143530
7226456140
oct65211256
928242840
1013963950
117978360
124814ba6
132b7bbc0
141bd6c90
15135c700
hexd512ae

13963950 has 288 divisors, whose sum is σ = 51996672. Its totient is φ = 2592000.

The previous prime is 13963931. The next prime is 13963973. The reversal of 13963950 is 5936931.

13963950 is a `hidden beast` number, since 13 + 9 + 639 + 5 + 0 = 666.

13963950 is nontrivially palindromic in base 8.

13963950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450435 + ... + 450465.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 213963950 is an apocalyptic number.

13963950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13963950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

13963950 is an abundant number, since it is smaller than the sum of its proper divisors (38032722).

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

13963950 is a wasteful number, since it uses less digits than its factorization.

13963950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13963950 is about 3736.8368976984. The cubic root of 13963950 is about 240.8071780548.

The spelling of 13963950 in words is "thirteen million, nine hundred sixty-three thousand, nine hundred fifty".