Search a number
-
+
265880 = 23517223
BaseRepresentation
bin1000000111010011000
3111111201102
41000322120
532002010
65410532
72155106
oct1007230
9444642
10265880
1117183a
12109a48
1394034
146cc76
1553ba5
hex40e98

265880 has 48 divisors (see below), whose sum is σ = 663120. Its totient is φ = 95744.

The previous prime is 265873. The next prime is 265883. The reversal of 265880 is 88562.

265880 = T51 + T52 + ... + T119.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265883) 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, 11549 + ... + 11571.

It is an arithmetic number, because the mean of its divisors is an integer number (13815).

2265880 is an apocalyptic number.

265880 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 265880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331560).

265880 is an abundant number, since it is smaller than the sum of its proper divisors (397240).

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

265880 is a wasteful number, since it uses less digits than its factorization.

265880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 265880 is about 515.6355301955. The cubic root of 265880 is about 64.3026034402.

The spelling of 265880 in words is "two hundred sixty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 289 340 391 460 578 680 782 920 1156 1445 1564 1955 2312 2890 3128 3910 5780 6647 7820 11560 13294 15640 26588 33235 53176 66470 132940 265880