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2575840 = 25517947
BaseRepresentation
bin1001110100110111100000
311211212101111
421310313200
51124411330
6131113104
730615511
oct11646740
94755344
102575840
1114aa2a3
12a42794
136c2587
144b0a08
1535d32a
hex274de0

2575840 has 48 divisors (see below), whose sum is σ = 6450192. Its totient is φ = 968704.

The previous prime is 2575831. The next prime is 2575843. The reversal of 2575840 is 485752.

2575840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575843) 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, 2247 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (134379).

22575840 is an apocalyptic number.

2575840 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 2575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225096).

2575840 is an abundant number, since it is smaller than the sum of its proper divisors (3874352).

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

2575840 is a wasteful number, since it uses less digits than its factorization.

2575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2575840 is about 1604.9423665665. The cubic root of 2575840 is about 137.0796418313.

The spelling of 2575840 in words is "two million, five hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 947 1360 1894 2720 3788 4735 7576 9470 15152 16099 18940 30304 32198 37880 64396 75760 80495 128792 151520 160990 257584 321980 515168 643960 1287920 2575840