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2460 = 223541
BaseRepresentation
bin100110011100
310101010
4212130
534320
615220
710113
oct4634
93333
102460
111937
121510
131173
14c7a
15ae0
hex99c

2460 has 24 divisors (see below), whose sum is σ = 7056. Its totient is φ = 640.

The previous prime is 2459. The next prime is 2467. The reversal of 2460 is 642.

2460 = T17 + T18 + ... + T26.

2460 is nontrivially palindromic in base 9.

2460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2460 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

2460 is an undulating number in base 3.

2460 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (294).

22460 is an apocalyptic number.

2460 is a gapful number since it is divisible by the number (20) 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 2460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528).

2460 is an abundant number, since it is smaller than the sum of its proper divisors (4596).

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

2460 is a wasteful number, since it uses less digits than its factorization.

2460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2460 is about 49.5983870705. The cubic root of 2460 is about 13.4993140941.

The spelling of 2460 in words is "two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460