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2380 = 225717
BaseRepresentation
bin100101001100
310021011
4211030
534010
615004
76640
oct4514
93234
102380
111874
121464
131111
14c20
15a8a
hex94c

2380 has 24 divisors (see below), whose sum is σ = 6048. Its totient is φ = 768.

The previous prime is 2377. The next prime is 2381. The reversal of 2380 is 832.

Subtracting from 2380 its product of nonzero digits (48), we obtain a palindrome (2332).

2380 = T11 + T12 + ... + T24.

2380 is nontrivially palindromic in base 13 and base 15.

2380 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

2380 is a nontrivial binomial coefficient, being equal to C(17, 4).

2380 is an undulating number in base 15.

2380 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 7, base 13 and base 14.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2380.

It is not an unprimeable number, because it can be changed into a prime (2381) by changing a digit.

It is a nontrivial repunit in base 13.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

2380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2380 is the 40-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024).

2380 is an abundant number, since it is smaller than the sum of its proper divisors (3668).

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

2380 is a wasteful number, since it uses less digits than its factorization.

2380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2380 is about 48.7852436706. The cubic root of 2380 is about 13.3513644937.

The spelling of 2380 in words is "two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380