[go: up one dir, main page]

Search a number
-
+
241365000 = 2335416091
BaseRepresentation
bin11100110001011…
…11000000001000
3121211011121112110
432120233000020
5443242140000
635541142320
75660366022
oct1630570010
9554147473
10241365000
11114276108
12689ba9a0
133b00b236
14240ad012
15162ca850
hexe62f008

241365000 has 80 divisors (see below), whose sum is σ = 754071120. Its totient is φ = 64360000.

The previous prime is 241364989. The next prime is 241365017. The reversal of 241365000 is 563142.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6955 + ... + 23045.

It is an arithmetic number, because the mean of its divisors is an integer number (9425889).

Almost surely, 2241365000 is an apocalyptic number.

241365000 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 241365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377035560).

241365000 is an abundant number, since it is smaller than the sum of its proper divisors (512706120).

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

241365000 is a wasteful number, since it uses less digits than its factorization.

241365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 241365000 is about 15535.9261069303. The cubic root of 241365000 is about 622.6224336204.

The spelling of 241365000 in words is "two hundred forty-one million, three hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 16091 32182 48273 64364 80455 96546 128728 160910 193092 241365 321820 386184 402275 482730 643640 804550 965460 1206825 1609100 1930920 2011375 2413650 3218200 4022750 4827300 6034125 8045500 9654600 10056875 12068250 16091000 20113750 24136500 30170625 40227500 48273000 60341250 80455000 120682500 241365000