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5768040 = 233571677
BaseRepresentation
bin10110000000001101101000
3101212001021010
4112000031220
52434034130
6323343520
7100012305
oct26001550
911761233
105768040
11328a683
121b21ba0
13126c555
14aa20ac
1578e0b0
hex580368

5768040 has 64 divisors (see below), whose sum is σ = 17573760. Its totient is φ = 1514240.

The previous prime is 5768033. The next prime is 5768047. The reversal of 5768040 is 408675.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5768033) and next prime (5768047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5767989 and 5768007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8182 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (274590).

Almost surely, 25768040 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 5768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786880).

5768040 is an abundant number, since it is smaller than the sum of its proper divisors (11805720).

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

5768040 is a wasteful number, since it uses less digits than its factorization.

5768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5768040 is about 2401.6744159024. The cubic root of 5768040 is about 179.3395550080.

The spelling of 5768040 in words is "five million, seven hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 677 710 852 1065 1354 1420 1704 2031 2130 2708 2840 3385 4062 4260 5416 6770 8124 8520 10155 13540 16248 20310 27080 40620 48067 81240 96134 144201 192268 240335 288402 384536 480670 576804 721005 961340 1153608 1442010 1922680 2884020 5768040