Search a number
-
+
5315220 = 2234517193
BaseRepresentation
bin10100010001101010010100
3101000001010000
4110101222110
52330041340
6305531300
763115161
oct24215224
911001100
105315220
113000449
121943b30
131141401
149c5068
156eed30
hex511a94

5315220 has 120 divisors (see below), whose sum is σ = 17746344. Its totient is φ = 1327104.

The previous prime is 5315213. The next prime is 5315227. The reversal of 5315220 is 225135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5315213) and next prime (5315227).

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 4743684 = 756^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5315193 and 5315202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5315227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27444 + ... + 27636.

Almost surely, 25315220 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 5315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873172).

5315220 is an abundant number, since it is smaller than the sum of its proper divisors (12431124).

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

5315220 is a wasteful number, since it uses less digits than its factorization.

5315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5315220 is about 2305.4760896613. The cubic root of 5315220 is about 174.5180754286.

The spelling of 5315220 in words is "five million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 193 204 255 270 306 324 340 386 405 459 510 540 579 612 765 772 810 918 965 1020 1158 1377 1530 1620 1737 1836 1930 2295 2316 2754 2895 3060 3281 3474 3860 4590 5211 5508 5790 6562 6885 6948 8685 9180 9843 10422 11580 13124 13770 15633 16405 17370 19686 20844 26055 27540 29529 31266 32810 34740 39372 49215 52110 59058 62532 65620 78165 88587 98430 104220 118116 147645 156330 177174 196860 265761 295290 312660 354348 442935 531522 590580 885870 1063044 1328805 1771740 2657610 5315220