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5707040 = 25553673
BaseRepresentation
bin10101110001010100100000
3101201221120212
4111301110200
52430111130
6322153252
766336413
oct25612440
911657525
105707040
113248869
121ab2828
13124a861
14a87b7a
1577ae95
hex571520

5707040 has 48 divisors (see below), whose sum is σ = 13757688. Its totient is φ = 2236416.

The previous prime is 5707033. The next prime is 5707043. The reversal of 5707040 is 407075.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 1024144 = 2164^2 + 1012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5706997 and 5707015.

It is not an unprimeable number, because it can be changed into a prime (5707043) 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, 8144 + ... + 8816.

Almost surely, 25707040 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 5707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878844).

5707040 is an abundant number, since it is smaller than the sum of its proper divisors (8050648).

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

5707040 is a wasteful number, since it uses less digits than its factorization.

5707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 5707040 is about 2388.9411880580. The cubic root of 5707040 is about 178.7051104126.

The spelling of 5707040 in words is "five million, seven hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 673 848 1060 1346 1696 2120 2692 3365 4240 5384 6730 8480 10768 13460 21536 26920 35669 53840 71338 107680 142676 178345 285352 356690 570704 713380 1141408 1426760 2853520 5707040