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6120 = 2332517
BaseRepresentation
bin1011111101000
322101200
41133220
5143440
644200
723562
oct13750
98350
106120
114664
123660
132a2a
142332
151c30
hex17e8

6120 has 48 divisors (see below), whose sum is σ = 21060. Its totient is φ = 1536.

The previous prime is 6113. The next prime is 6121. The reversal of 6120 is 216.

Adding to 6120 its reverse (216), we get a palindrome (6336).

It can be divided in two parts, 61 and 20, that added together give a 4-th power (81 = 34).

6120 is nontrivially palindromic in base 11 and base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 36 = 78^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

6120 is an undulating number in base 13.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6120.

It is not an unprimeable number, because it can be changed into a prime (6121) by changing a digit.

6120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 368.

6120 is a gapful number since it is divisible by the number (60) 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 6120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530).

6120 is an abundant number, since it is smaller than the sum of its proper divisors (14940).

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

6120 is a wasteful number, since it uses less digits than its factorization.

6120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 6120 is about 78.2304288624. The cubic root of 6120 is about 18.2915485475.

The spelling of 6120 in words is "six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120