[go: up one dir, main page]

Search a number
-
+
13522014 = 23211312203
BaseRepresentation
bin110011100101…
…010001011110
3221102222201100
4303211101132
511430201024
61201453530
7222635532
oct63452136
927388640
1013522014
1176a6320
1246412a6
132a559bc
141b1dbc2
1512c17c9
hexce545e

13522014 has 48 divisors (see below), whose sum is σ = 33007104. Its totient is φ = 3963600.

The previous prime is 13522013. The next prime is 13522027. The reversal of 13522014 is 41022531.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5037 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (687648).

Almost surely, 213522014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13522014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503552).

13522014 is an abundant number, since it is smaller than the sum of its proper divisors (19485090).

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

13522014 is a wasteful number, since it uses less digits than its factorization.

13522014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13522014 is about 3677.2291198673. The cubic root of 13522014 is about 238.2395136077.

Adding to 13522014 its reverse (41022531), we get a palindrome (54544545).

The spelling of 13522014 in words is "thirteen million, five hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 2203 3069 4406 6138 6609 13218 19827 24233 39654 48466 68293 72699 136586 145398 204879 218097 409758 436194 614637 751223 1229274 1502446 2253669 4507338 6761007 13522014