Search a number
-
+
241309260 = 22335895021
BaseRepresentation
bin11100110001000…
…01011001001100
3121211001210002000
432120201121030
5443233344020
635540032300
75660044353
oct1630413114
9554053060
10241309260
11114238245
1268992690
133acbba5a
142409699a
15162b9090
hexe62164c

241309260 has 96 divisors (see below), whose sum is σ = 759326400. Its totient is φ = 63613440.

The previous prime is 241309259. The next prime is 241309267. The reversal of 241309260 is 62903142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241309267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45550 + ... + 50570.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650).

Almost surely, 2241309260 is an apocalyptic number.

241309260 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 241309260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379663200).

241309260 is an abundant number, since it is smaller than the sum of its proper divisors (518017140).

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

241309260 is a wasteful number, since it uses less digits than its factorization.

241309260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 241309260 is about 15534.1320967732. The cubic root of 241309260 is about 622.5745011718.

The spelling of 241309260 in words is "two hundred forty-one million, three hundred nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5021 5340 8010 9612 10042 12015 15063 16020 20084 24030 25105 30126 45189 48060 50210 60252 75315 90378 100420 135567 150630 180756 225945 271134 301260 446869 451890 542268 677835 893738 903780 1340607 1355670 1787476 2234345 2681214 2711340 4021821 4468690 5362428 6703035 8043642 8937380 12065463 13406070 16087284 20109105 24130926 26812140 40218210 48261852 60327315 80436420 120654630 241309260