Search a number
-
+
5786130 = 235759467
BaseRepresentation
bin10110000100101000010010
3101212222002010
4112010220102
52440124010
6324003350
7100116120
oct26045022
911788063
105786130
1132a2229
121b30556
13127785c
14aa8910
15794620
hex584a12

5786130 has 64 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1297344.

The previous prime is 5786129. The next prime is 5786141. The reversal of 5786130 is 316875.

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

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12157 + ... + 12623.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 25786130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

5786130 is an abundant number, since it is smaller than the sum of its proper divisors (10387950).

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

5786130 is a wasteful number, since it uses less digits than its factorization.

5786130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5786130 is about 2405.4375901278. The cubic root of 5786130 is about 179.5268437493.

The spelling of 5786130 in words is "five million, seven hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 467 590 826 885 934 1239 1401 1770 2065 2335 2478 2802 3269 4130 4670 6195 6538 7005 9807 12390 14010 16345 19614 27553 32690 49035 55106 82659 98070 137765 165318 192871 275530 385742 413295 578613 826590 964355 1157226 1928710 2893065 5786130