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5607440 = 245292417
BaseRepresentation
bin10101011001000000010000
3101112212221222
4111121000100
52413414230
6320104212
765443136
oct25310020
911485858
105607440
11318aa53
121a65068
131214417
14a5d756
1575b6e5
hex559010

5607440 has 40 divisors (see below), whose sum is σ = 13492440. Its totient is φ = 2164736.

The previous prime is 5607439. The next prime is 5607443. The reversal of 5607440 is 447065.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 3579664 = 1424^2 + 1892^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5607443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 3528.

It is an arithmetic number, because the mean of its divisors is an integer number (337311).

Almost surely, 25607440 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 5607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746220).

5607440 is an abundant number, since it is smaller than the sum of its proper divisors (7885000).

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

5607440 is a wasteful number, since it uses less digits than its factorization.

5607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5607440 is about 2368.0033783760. The cubic root of 5607440 is about 177.6594084725.

It can be divided in two parts, 560 and 7440, that added together give a cube (8000 = 203).

The spelling of 5607440 in words is "five million, six hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2417 4834 9668 12085 19336 24170 38672 48340 70093 96680 140186 193360 280372 350465 560744 700930 1121488 1401860 2803720 5607440