Search a number
-
+
770220 = 2232511389
BaseRepresentation
bin10111100000010101100
31110010112200
42330002230
5144121340
624301500
76355353
oct2740254
91403480
10770220
11486750
12311890
1320c769
1416099a
15103330
hexbc0ac

770220 has 72 divisors (see below), whose sum is σ = 2555280. Its totient is φ = 186240.

The previous prime is 770207. The next prime is 770227. The reversal of 770220 is 22077.

770220 = T59 + T60 + ... + T168.

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

It is a junction number, because it is equal to n+sod(n) for n = 770193 and 770202.

It is not an unprimeable number, because it can be changed into a prime (770227) by changing a digit.

770220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (35490).

2770220 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 770220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277640).

770220 is an abundant number, since it is smaller than the sum of its proper divisors (1785060).

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

770220 is a wasteful number, since it uses less digits than its factorization.

770220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 770220 is about 877.6217864206. The cubic root of 770220 is about 91.6652929087.

Adding to 770220 its reverse (22077), we get a palindrome (792297).

It can be divided in two parts, 770 and 220, that added together give a triangular number (990 = T44).

The spelling of 770220 in words is "seven hundred seventy thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 389 396 495 660 778 990 1167 1556 1945 1980 2334 3501 3890 4279 4668 5835 7002 7780 8558 11670 12837 14004 17116 17505 21395 23340 25674 35010 38511 42790 51348 64185 70020 77022 85580 128370 154044 192555 256740 385110 770220