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2575540 = 2251123509
BaseRepresentation
bin1001110100110010110100
311211211222101
421310302310
51124404130
6131111444
730614602
oct11646264
94754871
102575540
1114aa050
12a42584
136c23b6
144b0872
1535d1ca
hex274cb4

2575540 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 894080.

The previous prime is 2575537. The next prime is 2575543. The reversal of 2575540 is 455752.

2575540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2575537) and next prime (2575543).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2575499 and 2575508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575543) 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 15 ways as a sum of consecutive naturals, for example, 4806 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22575540 is an apocalyptic number.

2575540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2575540 is an abundant number, since it is smaller than the sum of its proper divisors (3593420).

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

2575540 is a wasteful number, since it uses less digits than its factorization.

2575540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 2575540 is about 1604.8489025450. The cubic root of 2575540 is about 137.0743198795.

The spelling of 2575540 in words is "two million, five hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 509 1012 1018 1265 2036 2530 2545 5060 5090 5599 10180 11198 11707 22396 23414 27995 46828 55990 58535 111980 117070 128777 234140 257554 515108 643885 1287770 2575540