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7140 = 2235717
BaseRepresentation
bin1101111100100
3100210110
41233210
5212030
653020
726550
oct15744
910713
107140
115401
124170
133333
142860
1521b0
hex1be4

7140 has 48 divisors (see below), whose sum is σ = 24192. Its totient is φ = 1536.

The previous prime is 7129. The next prime is 7151. The reversal of 7140 is 417.

7140 divided by its sum of digits (12) gives a palindrome (595).

Adding to 7140 its reverse (417), we get a palindrome (7557).

It can be divided in two parts, 71 and 40, that added together give a palindrome (111).

7140 = T1 + T2 + ... + T34.

7140 is nontrivially palindromic in base 13.

7140 is a nontrivial binomial coefficient, being equal to C(120, 2), and to C(36, 3).

It is an interprime number because it is at equal distance from previous prime (7129) and next prime (7151).

It is a Harshad number since it is a multiple of its sum of digits (12).

7140 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

7140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 34-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

27140 is an apocalyptic number.

7140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a pronic number, being equal to 84×85.

7140 is the 119-th triangular number and also the 60-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

7140 is an abundant number, since it is smaller than the sum of its proper divisors (17052).

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

7140 is a wasteful number, since it uses less digits than its factorization.

7140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7140 is about 84.4985206971. The cubic root of 7140 is about 19.2559997040.

The spelling of 7140 in words is "seven thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140