Search a number
-
+
5780628 = 22327229113
BaseRepresentation
bin10110000011010010010100
3101212200112100
4112003102110
52434440003
6323522100
7100064100
oct26032224
911780470
105780628
113299087
121b29330
1312751b9
14aa6900
15792ba3
hex583494

5780628 has 108 divisors (see below), whose sum is σ = 17739540. Its totient is φ = 1580544.

The previous prime is 5780627. The next prime is 5780633. The reversal of 5780628 is 8260875.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 4588164 = 1092^2 + 2142^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5780592 and 5780601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5780623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51100 + ... + 51212.

It is an arithmetic number, because the mean of its divisors is an integer number (164255).

Almost surely, 25780628 is an apocalyptic number.

5780628 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869770).

5780628 is an abundant number, since it is smaller than the sum of its proper divisors (11958912).

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

5780628 is a wasteful number, since it uses less digits than its factorization.

5780628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5780628 is about 2404.2936592688. The cubic root of 5780628 is about 179.4699219989.

The spelling of 5780628 in words is "five million, seven hundred eighty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 113 116 126 147 174 196 203 226 252 261 294 339 348 406 441 452 522 588 609 678 791 812 882 1017 1044 1218 1356 1421 1582 1764 1827 2034 2373 2436 2842 3164 3277 3654 4068 4263 4746 5537 5684 6554 7119 7308 8526 9492 9831 11074 12789 13108 14238 16611 17052 19662 22148 22939 25578 28476 29493 33222 39324 45878 49833 51156 58986 66444 68817 91756 99666 117972 137634 160573 199332 206451 275268 321146 412902 481719 642292 825804 963438 1445157 1926876 2890314 5780628