Search a number
-
+
13950 = 2325231
BaseRepresentation
bin11011001111110
3201010200
43121332
5421300
6144330
755446
oct33176
921120
1013950
11a532
1280a6
136471
145126
154200
hex367e

13950 has 36 divisors (see below), whose sum is σ = 38688. Its totient is φ = 3600.

The previous prime is 13933. The next prime is 13963. The reversal of 13950 is 5931.

Adding to 13950 its reverse (5931), we get a square (19881 = 1412).

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

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11 and base 15.

It is a congruent number.

It is an unprimeable number.

13950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 435 + ... + 465.

13950 is a Friedman number, since it can be written as 50*31*9, using all its digits and the basic arithmetic operations.

213950 is an apocalyptic number.

13950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13950 is the 75-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344).

13950 is an abundant number, since it is smaller than the sum of its proper divisors (24738).

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

13950 is a wasteful number, since it uses less digits than its factorization.

13950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13950 is about 118.1101181102. The cubic root of 13950 is about 24.0726962467.

The spelling of 13950 in words is "thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 13950