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5769040 = 245371949
BaseRepresentation
bin10110000000011101010000
3101212002122011
4112000131100
52434102130
6323352304
7100015234
oct26003520
911762564
105769040
113290402
121b22694
13126cb44
14aa25c4
1578e52a
hex580750

5769040 has 40 divisors (see below), whose sum is σ = 13782600. Its totient is φ = 2244096.

The previous prime is 5769037. The next prime is 5769041. The reversal of 5769040 is 409675.

5769040 is digitally balanced in base 5, 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 2471184 + 3297856 = 1572^2 + 1816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5768993 and 5769011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1986 + ... + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 25769040 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 5769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891300).

5769040 is an abundant number, since it is smaller than the sum of its proper divisors (8013560).

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

5769040 is a wasteful number, since it uses less digits than its factorization.

5769040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5769040 is about 2401.8825949659. The cubic root of 5769040 is about 179.3499183892.

The spelling of 5769040 in words is "five million, seven hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1949 2960 3898 7796 9745 15592 19490 31184 38980 72113 77960 144226 155920 288452 360565 576904 721130 1153808 1442260 2884520 5769040