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2303120 = 24528789
BaseRepresentation
bin1000110010010010010000
311100000021202
420302102100
51042144440
6121210332
725401431
oct10622220
94300252
102303120
111333406
129309a8
136283c1
1443d488
15307615
hex232490

2303120 has 20 divisors (see below), whose sum is σ = 5354940. Its totient is φ = 921216.

The previous prime is 2303117. The next prime is 2303129. The reversal of 2303120 is 213032.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 824464 = 1216^2 + 908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14315 + ... + 14474.

It is an arithmetic number, because the mean of its divisors is an integer number (267747).

22303120 is an apocalyptic number.

2303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303120 is an abundant number, since it is smaller than the sum of its proper divisors (3051820).

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

2303120 is a wasteful number, since it uses less digits than its factorization.

2303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2303120 is about 1517.6033737443. The cubic root of 2303120 is about 132.0602724442.

Adding to 2303120 its reverse (213032), we get a palindrome (2516152).

The spelling of 2303120 in words is "two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28789 57578 115156 143945 230312 287890 460624 575780 1151560 2303120