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5766390 = 23657113
BaseRepresentation
bin10101111111110011110110
3101211222000000
4111333303312
52434011030
6323332130
7100004430
oct25776366
911758000
105766390
113289413
121b21046
13126b886
14aa1650
1578d860
hex57fcf6

5766390 has 112 divisors (see below), whose sum is σ = 17942688. Its totient is φ = 1306368.

The previous prime is 5766379. The next prime is 5766421. The reversal of 5766390 is 936675.

It is a happy number.

It is a d-powerful number, because it can be written as 5 + 78 + 62 + 64 + 35 + 9 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50974 + ... + 51086.

Almost surely, 25766390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971344).

5766390 is an abundant number, since it is smaller than the sum of its proper divisors (12176298).

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

5766390 is a wasteful number, since it uses less digits than its factorization.

5766390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5766390 is about 2401.3308809908. The cubic root of 5766390 is about 179.3224528100.

The spelling of 5766390 in words is "five million, seven hundred sixty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 113 126 135 162 189 210 226 243 270 315 339 378 405 486 565 567 630 678 729 791 810 945 1017 1130 1134 1215 1458 1582 1695 1701 1890 2034 2373 2430 2835 3051 3390 3402 3645 3955 4746 5085 5103 5670 6102 7119 7290 7910 8505 9153 10170 10206 11865 14238 15255 17010 18306 21357 23730 25515 27459 30510 35595 42714 45765 51030 54918 64071 71190 82377 91530 106785 128142 137295 164754 192213 213570 274590 320355 384426 411885 576639 640710 823770 961065 1153278 1922130 2883195 5766390