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120 = 2335
BaseRepresentation
bin1111000
311110
41320
5440
6320
7231
oct170
9143
10120
11aa
12a0
1393
1488
1580
hex78

120 has 16 divisors (see below), whose sum is σ = 360. Its totient is φ = 32.

The previous prime is 113. The next prime is 127. The reversal of 120 is 21.

It is a factorial (120 = 5 ! = 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 ), and thus also a Jordan-Polya number.

120 is nontrivially palindromic in base 11 and base 14.

120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 112-1.

120 is an esthetic number in base 16, because in such base it adjacent digits differ by 1.

120 is a nontrivial binomial coefficient, being equal to C(16, 2), and to C(10, 3).

It is an interprime number because it is at equal distance from previous prime (113) and next prime (127).

120 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

120 is an idoneal number.

It is a lonely number, since its distance to closest prime (127) sets a new record.

120 is strictly pandigital in base 4.

120 is a nontrivial repdigit in base 11 and base 14.

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

It is a nialpdrome in base 2, base 3, base 5, base 6, base 11, base 12, base 13, base 14 and base 15.

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

It is a congruent number.

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

It is the 8-th tetrahedral number.

In principle, a polygon with 120 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, 22 + ... + 26.

It is equal to the Eulerian number A(7, 1).

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

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

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

120 is the 15-th triangular number and also the 8-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180).

120 is an abundant number, since it is smaller than the sum of its proper divisors (240).

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

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

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

The sum of its prime factors is 14 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 120 is about 10.9544511501. The cubic root of 120 is about 4.9324241487.

The spelling of 120 in words is "one hundred twenty", and is thus an aban number and an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120