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1140 = 223519
BaseRepresentation
bin10001110100
31120020
4101310
514030
65140
73216
oct2164
91506
101140
11947
127b0
13699
145b6
15510
hex474

1140 has 24 divisors (see below), whose sum is σ = 3360. Its totient is φ = 288.

The previous prime is 1129. The next prime is 1151. The reversal of 1140 is 411.

Adding to 1140 its reverse (411), we get a palindrome (1551).

Subtracting from 1140 its reverse (411), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 1 and 140, that added together give a palindrome (141).

1140 = T1 + T2 + ... + T18.

1140 is nontrivially palindromic in base 16.

1140 is a nontrivial binomial coefficient, being equal to C(20, 3).

It is an interprime number because it is at equal distance from previous prime (1129) and next prime (1151).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1140 is an undulating number in base 16.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is the 18-th tetrahedral number.

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, 51 + ... + 69.

It is an arithmetic number, because the mean of its divisors is an integer number (140).

21140 is an apocalyptic number.

1140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680).

1140 is an abundant number, since it is smaller than the sum of its proper divisors (2220).

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

1140 is a wasteful number, since it uses less digits than its factorization.

1140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1140 is about 33.7638860323. The cubic root of 1140 is about 10.4464392682.

The spelling of 1140 in words is "one thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140