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2025040 = 245171489
BaseRepresentation
bin111101110011001010000
310210212211111
413232121100
51004300130
6111223104
723132623
oct7563120
93725744
102025040
111163496
12817a94
1355b964
143a9dba
152a002a
hex1ee650

2025040 has 40 divisors (see below), whose sum is σ = 4988520. Its totient is φ = 761856.

The previous prime is 2025029. The next prime is 2025043. The reversal of 2025040 is 405202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 1827904 = 444^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2025040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025043) 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, 616 + ... + 2104.

It is an arithmetic number, because the mean of its divisors is an integer number (124713).

22025040 is an apocalyptic number.

2025040 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 2025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494260).

2025040 is an abundant number, since it is smaller than the sum of its proper divisors (2963480).

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

2025040 is a wasteful number, since it uses less digits than its factorization.

2025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2025040 is about 1423.0390015737. The cubic root of 2025040 is about 126.5157328097.

It can be divided in two parts, 20250 and 40, that multiplied together give a 4-th power (810000 = 304).

The spelling of 2025040 in words is "two million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1489 2978 5956 7445 11912 14890 23824 25313 29780 50626 59560 101252 119120 126565 202504 253130 405008 506260 1012520 2025040