Search a number
-
+
675220 = 225721353
BaseRepresentation
bin10100100110110010100
31021022020011
42210312110
5133101340
622250004
75511400
oct2446624
91238204
10675220
11421337
12286904
131a8450
14138100
15d50ea
hexa4d94

675220 has 72 divisors (see below), whose sum is σ = 1809864. Its totient is φ = 209664.

The previous prime is 675197. The next prime is 675221. The reversal of 675220 is 22576.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 636804 = 196^2 + 798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 675191 and 675200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12714 + ... + 12766.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2675220 is an apocalyptic number.

675220 is the 520-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932).

675220 is an abundant number, since it is smaller than the sum of its proper divisors (1134644).

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

675220 is a wasteful number, since it uses less digits than its factorization.

675220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 675220 is about 821.7177130864. The cubic root of 675220 is about 87.7300612431.

Adding to 675220 its reverse (22576), we get a palindrome (697796).

The spelling of 675220 in words is "six hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 53 65 70 91 98 106 130 140 182 196 212 245 260 265 364 371 455 490 530 637 689 742 910 980 1060 1274 1378 1484 1820 1855 2548 2597 2756 3185 3445 3710 4823 5194 6370 6890 7420 9646 10388 12740 12985 13780 19292 24115 25970 33761 48230 51940 67522 96460 135044 168805 337610 675220