Search a number
-
+
2590153 = 672577
BaseRepresentation
bin1001111000010111001001
311212121000121
421320113021
51130341103
6131303241
731005316
oct11702711
94777017
102590153
11150a025
12a4ab21
136c8c47
144b5d0d
153626bd
hex2785c9

2590153 has 6 divisors (see below), whose sum is σ = 2633946. Its totient is φ = 2547072.

The previous prime is 2590139. The next prime is 2590157. The reversal of 2590153 is 3510952.

2590153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 4489 = 1608^2 + 67^2 .

It is not a de Polignac number, because 2590153 - 29 = 2589641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2590157) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4201 + ... + 4777.

It is an arithmetic number, because the mean of its divisors is an integer number (438991).

22590153 is an apocalyptic number.

It is an amenable number.

2590153 is a deficient number, since it is larger than the sum of its proper divisors (43793).

2590153 is an frugal number, since it uses more digits than its factorization.

2590153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 2590153 is about 1609.3952280282. The cubic root of 2590153 is about 137.3330734644. Note that the first 3 decimals are identical.

The spelling of 2590153 in words is "two million, five hundred ninety thousand, one hundred fifty-three".

Divisors: 1 67 577 4489 38659 2590153