Search a number
-
+
269080 = 2357312
BaseRepresentation
bin1000001101100011000
3111200002221
41001230120
532102310
65433424
72200330
oct1015430
9450087
10269080
11174189
1210b874
1395626
14700c0
1554ada
hex41b18

269080 has 48 divisors (see below), whose sum is σ = 714960. Its totient is φ = 89280.

The previous prime is 269069. The next prime is 269089. The reversal of 269080 is 80962.

269080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8665 + ... + 8695.

It is an arithmetic number, because the mean of its divisors is an integer number (14895).

2269080 is an apocalyptic number.

269080 is a gapful number since it is divisible by the number (20) 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 269080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357480).

269080 is an abundant number, since it is smaller than the sum of its proper divisors (445880).

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

269080 is a wasteful number, since it uses less digits than its factorization.

269080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 269080 is about 518.7292164511. The cubic root of 269080 is about 64.5595467959.

The spelling of 269080 in words is "two hundred sixty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 961 1085 1240 1736 1922 2170 3844 4340 4805 6727 7688 8680 9610 13454 19220 26908 33635 38440 53816 67270 134540 269080