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2475640 = 235591049
BaseRepresentation
bin1001011100011001111000
311122202221101
421130121320
51113210030
6125021144
730020416
oct11343170
94582841
102475640
111440a92
129b47b4
13688a9b
144862b6
1533d7ca
hex25c678

2475640 has 32 divisors (see below), whose sum is σ = 5670000. Its totient is φ = 972544.

The previous prime is 2475593. The next prime is 2475647. The reversal of 2475640 is 465742.

2475640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24756402 = 12257586819200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2475599 and 2475608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2475647) 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 7 ways as a sum of consecutive naturals, for example, 1836 + ... + 2884.

22475640 is an apocalyptic number.

2475640 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 2475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835000).

2475640 is an abundant number, since it is smaller than the sum of its proper divisors (3194360).

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

2475640 is a wasteful number, since it uses less digits than its factorization.

2475640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2475640 is about 1573.4166644599. The cubic root of 2475640 is about 135.2786198194.

The spelling of 2475640 in words is "two million, four hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1049 1180 2098 2360 4196 5245 8392 10490 20980 41960 61891 123782 247564 309455 495128 618910 1237820 2475640