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3042120 = 2335101251
BaseRepresentation
bin1011100110101101001000
312201120000010
423212231020
51234321440
6145111520
734600104
oct13465510
95646003
103042120
111798654
1210285a0
13826893
14592904
15401580
hex2e6b48

3042120 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 800000.

The previous prime is 3042107. The next prime is 3042157. The reversal of 3042120 is 212403.

3042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3042096 and 3042105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11995 + ... + 12245.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 23042120 is an apocalyptic number.

3042120 is a gapful number since it is divisible by the number (30) 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 3042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

3042120 is an abundant number, since it is smaller than the sum of its proper divisors (6211320).

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

3042120 is a wasteful number, since it uses less digits than its factorization.

3042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

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

The square root of 3042120 is about 1744.1674231564. The cubic root of 3042120 is about 144.8967953679.

Adding to 3042120 its reverse (212403), we get a palindrome (3254523).

The spelling of 3042120 in words is "three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 251 303 404 502 505 606 753 808 1004 1010 1212 1255 1506 1515 2008 2020 2424 2510 3012 3030 3765 4040 5020 6024 6060 7530 10040 12120 15060 25351 30120 50702 76053 101404 126755 152106 202808 253510 304212 380265 507020 608424 760530 1014040 1521060 3042120