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3125840 = 24541953
BaseRepresentation
bin1011111011001001010000
312212210211212
423323021100
51300011330
6150555252
735366144
oct13731120
95783755
103125840
111845543
121068b28
13855a13
145b5224
1541b295
hex2fb250

3125840 has 40 divisors (see below), whose sum is σ = 7452648. Its totient is φ = 1218560.

The previous prime is 3125839. The next prime is 3125867. The reversal of 3125840 is 485213.

3125840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 3125824 = 4^2 + 1768^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 2804 + ... + 3756.

Almost surely, 23125840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726324).

3125840 is an abundant number, since it is smaller than the sum of its proper divisors (4326808).

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

3125840 is a wasteful number, since it uses less digits than its factorization.

3125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 3125840 is about 1768.0045248811. The cubic root of 3125840 is about 146.2139853366.

The spelling of 3125840 in words is "three million, one hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 953 1640 1906 3280 3812 4765 7624 9530 15248 19060 38120 39073 76240 78146 156292 195365 312584 390730 625168 781460 1562920 3125840