Search a number
-
+
2672900 = 225226729
BaseRepresentation
bin1010001100100100000100
312000210112022
422030210010
51141013100
6133142312
731501466
oct12144404
95023468
102672900
11156620a
12a8a998
137277c9
144d8136
1537be85
hex28c904

2672900 has 18 divisors (see below), whose sum is σ = 5800410. Its totient is φ = 1069120.

The previous prime is 2672881. The next prime is 2672903. The reversal of 2672900 is 92762.

It can be written as a sum of positive squares in 3 ways, for example, as 264196 + 2408704 = 514^2 + 1552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2672900.

It is not an unprimeable number, because it can be changed into a prime (2672903) 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 5 ways as a sum of consecutive naturals, for example, 13265 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

22672900 is an apocalyptic number.

2672900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672900 is an abundant number, since it is smaller than the sum of its proper divisors (3127510).

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

2672900 is a wasteful number, since it uses less digits than its factorization.

2672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2672900 is about 1634.9006085998. The cubic root of 2672900 is about 138.7802195898.

The spelling of 2672900 in words is "two million, six hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 26729 53458 106916 133645 267290 534580 668225 1336450 2672900