• 60 can be written using four 4's:

60 has 12 divisors (see below), whose sum is σ = 168. Its totient is φ = 16.

The previous prime is 59. The next prime is 61. The reversal of 60 is 6.

Added to its reverse (6) it gives a triangular number (66 = T_{11}).

60 is nontrivially palindromic in base 9, base 11 and base 14.

It is an interprime number because it is at equal distance from previous prime (59) and next prime (61).

It is a tau number, because it is divible by the number of its divisors (12).

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.

60 is an idoneal number.

It is a O'Halloran number.

60 is an undulating number in base 3.

60 is a nontrivial repdigit in base 9, base 11 and base 14.

It is a plaindrome in base 7, base 9, base 11, base 13, base 14 and base 16.

It is a nialpdrome in base 2, base 4, base 5, base 8, base 9, base 10, base 11, base 12, base 14 and base 15.

It is a zygodrome in base 2, base 9, base 11 and base 14.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5 × 3 × 4.

It is a congruent number.

A polygon with 60 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 14.

It is an arithmetic number, because the mean of its divisors is an integer number (14).

60 is a highly composite number, because it has more divisors than any smaller number.

60 is a superabundant number, because it has a larger abundancy index than any smaller number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84).

60 is an abundant number, since it is smaller than the sum of its proper divisors (108).

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

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

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

The sum of its prime factors is 12 (or 10 counting only the distinct ones).

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

The square root of 60 is about 7.7459666924. The cubic root of 60 is about 3.9148676412.

The spelling of 60 in words is "sixty", and thus it is an aban number, an eban number, an oban number, and an uban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.028 sec. • engine limits •