Search a number
-
+
7380 = 2232541
BaseRepresentation
bin1110011010100
3101010100
41303110
5214010
654100
730342
oct16324
911110
107380
1155aa
124330
133489
142992
1522c0
hex1cd4

7380 has 36 divisors (see below), whose sum is σ = 22932. Its totient is φ = 1920.

The previous prime is 7369. The next prime is 7393. The reversal of 7380 is 837.

It can be divided in two parts, 73 and 80, that added together give a triangular number (153 = T17).

7380 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 6084 = 36^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 6, base 9 and base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

7380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

27380 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 7380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466).

7380 is an abundant number, since it is smaller than the sum of its proper divisors (15552).

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

7380 is a wasteful number, since it uses less digits than its factorization.

7380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7380 is about 85.9069263797. The cubic root of 7380 is about 19.4693799517.

The spelling of 7380 in words is "seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380