Search a number
2361120 = 25354919
BaseRepresentation
bin1001000000011100100000
311102221211220
421000130200
51101023440
6122335040
726032506
oct11003440
94387756
102361120
111372a43
1295a480
13648918
14456676
153198d0
hex240720

2361120 has 48 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 629504.

The previous prime is 2361119. The next prime is 2361133. The reversal of 2361120 is 211632.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2361120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

22361120 is an apocalyptic number.

2361120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2361120 is an abundant number, since it is smaller than the sum of its proper divisors (5077920).

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

2361120 is a wasteful number, since it uses less digits than its factorization.

2361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2361120 is about 1536.5936352855. The cubic root of 2361120 is about 133.1596627761.

Adding to 2361120 its reverse (211632), we get a palindrome (2572752).

The spelling of 2361120 in words is "two million, three hundred sixty-one thousand, one hundred twenty".