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5740820 = 225417001
BaseRepresentation
bin10101111001100100010100
3101210122220222
4111321210110
52432201240
6323013512
766540041
oct25714424
911718828
105740820
113271188
121b0a298
131260047
14a961c8
15785eb5
hex579914

5740820 has 24 divisors (see below), whose sum is σ = 12351528. Its totient is φ = 2240000.

The previous prime is 5740799. The next prime is 5740829. The reversal of 5740820 is 280475.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 5740816 = 2^2 + 2396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5740820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740829) 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, 2681 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (514647).

Almost surely, 25740820 is an apocalyptic number.

It is an amenable number.

5740820 is an abundant number, since it is smaller than the sum of its proper divisors (6610708).

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

5740820 is a wasteful number, since it uses less digits than its factorization.

5740820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5740820 is about 2396.0008347244. Note that the first 3 decimals coincide. The cubic root of 5740820 is about 179.0570025379.

The spelling of 5740820 in words is "five million, seven hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 7001 14002 28004 35005 70010 140020 287041 574082 1148164 1435205 2870410 5740820