Search a number
-
+
265990032 = 2432721123149
BaseRepresentation
bin11111101101010…
…10111110010000
3200112111200201200
433312222332100
51021043140112
642221031200
76406610100
oct1766527620
9615450650
10265990032
11127165280
12750b5500
1343150869
142747d200
1518541cdc
hexfdaaf90

265990032 has 360 divisors, whose sum is σ = 992347200. Its totient is φ = 65640960.

The previous prime is 265989989. The next prime is 265990037. The reversal of 265990032 is 230099562.

It is a super-2 number, since 2×2659900322 = 141501394246722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (265990037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1785094 + ... + 1785242.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2265990032 is an apocalyptic number.

265990032 is a gapful number since it is divisible by the number (22) 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 265990032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496173600).

265990032 is an abundant number, since it is smaller than the sum of its proper divisors (726357168).

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

265990032 is a wasteful number, since it uses less digits than its factorization.

265990032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 265990032 is about 16309.2008387904. The cubic root of 265990032 is about 643.1147256446.

The spelling of 265990032 in words is "two hundred sixty-five million, nine hundred ninety thousand, thirty-two".