Search a number
-
+
2505327 = 31131279
BaseRepresentation
bin1001100011101001101111
311201021122220
421203221233
51120132302
6125410423
730203106
oct11435157
94637586
102505327
111461320
12a09a13
13699456
1449303d
153474bc
hex263a6f

2505327 has 24 divisors (see below), whose sum is σ = 3813120. Its totient is φ = 1450800.

The previous prime is 2505311. The next prime is 2505337. The reversal of 2505327 is 7235052.

It is not a de Polignac number, because 2505327 - 24 = 2505311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505297 and 2505306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31674 + ... + 31752.

It is an arithmetic number, because the mean of its divisors is an integer number (158880).

22505327 is an apocalyptic number.

2505327 is a deficient number, since it is larger than the sum of its proper divisors (1307793).

2505327 is a wasteful number, since it uses less digits than its factorization.

2505327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2505327 is about 1582.8224789912. The cubic root of 2505327 is about 135.8172104600.

The spelling of 2505327 in words is "two million, five hundred five thousand, three hundred twenty-seven".

Divisors: 1 3 11 31 33 79 93 237 341 869 961 1023 2449 2607 2883 7347 10571 26939 31713 75919 80817 227757 835109 2505327