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2505940 = 2251071171
BaseRepresentation
bin1001100011110011010100
311201022111121
421203303110
51120142230
6125413324
730204643
oct11436324
94638447
102505940
111461828
12a0a244
13699808
1449335a
1534777a
hex263cd4

2505940 has 24 divisors (see below), whose sum is σ = 5316192. Its totient is φ = 992160.

The previous prime is 2505917. The next prime is 2505983. The reversal of 2505940 is 495052.

2505940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 2725.

It is an arithmetic number, because the mean of its divisors is an integer number (221508).

22505940 is an apocalyptic number.

2505940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505940 is an abundant number, since it is smaller than the sum of its proper divisors (2810252).

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

2505940 is a wasteful number, since it uses less digits than its factorization.

2505940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 2505940 is about 1583.0161085725. The cubic root of 2505940 is about 135.8282867467.

The spelling of 2505940 in words is "two million, five hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 1171 2140 2342 4684 5855 11710 23420 125297 250594 501188 626485 1252970 2505940