Search a number
-
+
265139200 = 2105210357
BaseRepresentation
bin11111100110110…
…11010000000000
3200110220110121101
433303123100000
51020333423300
642150504144
76366434404
oct1763332000
9613813541
10265139200
11126734007
1274965054
1342c13501
14272db104
1518424b6a
hexfcdb400

265139200 has 66 divisors (see below), whose sum is σ = 657287606. Its totient is φ = 106045440.

The previous prime is 265139197. The next prime is 265139209. The reversal of 265139200 is 2931562.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 248882176 = 4032^2 + 15776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265139209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20422 + ... + 30778.

Almost surely, 2265139200 is an apocalyptic number.

265139200 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 265139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328643803).

265139200 is an abundant number, since it is smaller than the sum of its proper divisors (392148406).

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

265139200 is a wasteful number, since it uses less digits than its factorization.

265139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 265139200 is about 16283.0955287992. The cubic root of 265139200 is about 642.4282750357.

The spelling of 265139200 in words is "two hundred sixty-five million, one hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 10357 12800 20714 25600 41428 51785 82856 103570 165712 207140 258925 331424 414280 517850 662848 828560 1035700 1325696 1657120 2071400 2651392 3314240 4142800 5302784 6628480 8285600 10605568 13256960 16571200 26513920 33142400 53027840 66284800 132569600 265139200