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2120260 = 225106013
BaseRepresentation
bin1000000101101001000100
310222201110011
420011221010
51020322020
6113240004
724010342
oct10055104
93881404
102120260
111218a8a
12863004
135930bc
143d2992
152bd35a
hex205a44

2120260 has 12 divisors (see below), whose sum is σ = 4452588. Its totient is φ = 848096.

The previous prime is 2120249. The next prime is 2120263. The reversal of 2120260 is 620212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 1331716 = 888^2 + 1154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2120260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120263) 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, 52987 + ... + 53026.

It is an arithmetic number, because the mean of its divisors is an integer number (371049).

22120260 is an apocalyptic number.

2120260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120260 is an abundant number, since it is smaller than the sum of its proper divisors (2332328).

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

2120260 is a wasteful number, since it uses less digits than its factorization.

2120260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106022 (or 106020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2120260 is about 1456.1112594853. Note that the first 3 decimals coincide. The cubic root of 2120260 is about 128.4684171954.

Subtracting from 2120260 its product of nonzero digits (48), we obtain a palindrome (2120212).

Adding to 2120260 its reverse (620212), we get a palindrome (2740472).

The spelling of 2120260 in words is "two million, one hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 106013 212026 424052 530065 1060130 2120260