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5786240 = 2759041
BaseRepresentation
bin10110000100101010000000
3101212222020012
4112010222000
52440124430
6324004052
7100116335
oct26045200
911788205
105786240
1132a2319
121b30628
131277915
14aa898c
15794695
hex584a80

5786240 has 32 divisors (see below), whose sum is σ = 13834260. Its totient is φ = 2314240.

The previous prime is 5786237. The next prime is 5786257. The reversal of 5786240 is 426875.

It can be written as a sum of positive squares in 2 ways, for example, as 5345344 + 440896 = 2312^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5786197 and 5786206.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3881 + ... + 5160.

Almost surely, 25786240 is an apocalyptic number.

It is an amenable number.

5786240 is an abundant number, since it is smaller than the sum of its proper divisors (8048020).

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

5786240 is an equidigital number, since it uses as much as digits as its factorization.

5786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5786240 is about 2405.4604548818. The cubic root of 5786240 is about 179.5279814025.

It can be divided in two parts, 57 and 86240, that multiplied together give a triangular number (4915680 = T3135).

The spelling of 5786240 in words is "five million, seven hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 9041 18082 36164 45205 72328 90410 144656 180820 289312 361640 578624 723280 1157248 1446560 2893120 5786240