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2505020 = 225729617
BaseRepresentation
bin1001100011100100111100
311201021020112
421203210330
51120130040
6125405152
730202160
oct11434474
94637215
102505020
111461071
12a097b8
1369927b
14492ca0
15347365
hex26393c

2505020 has 48 divisors (see below), whose sum is σ = 6229440. Its totient is φ = 827904.

The previous prime is 2505007. The next prime is 2505043. The reversal of 2505020 is 205052.

2505020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2504986 and 2505004.

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 15 ways as a sum of consecutive naturals, for example, 3752 + ... + 4368.

It is an arithmetic number, because the mean of its divisors is an integer number (129780).

22505020 is an apocalyptic number.

2505020 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 2505020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114720).

2505020 is an abundant number, since it is smaller than the sum of its proper divisors (3724420).

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

2505020 is a wasteful number, since it uses less digits than its factorization.

2505020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2505020 is about 1582.7254973621. The cubic root of 2505020 is about 135.8116626031.

Subtracting from 2505020 its reverse (205052), we obtain a cube (2299968 = 1323).

The spelling of 2505020 in words is "two million, five hundred five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 617 812 1015 1234 2030 2468 3085 4060 4319 6170 8638 12340 17276 17893 21595 35786 43190 71572 86380 89465 125251 178930 250502 357860 501004 626255 1252510 2505020