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241140240 = 243451117199
BaseRepresentation
bin11100101111110…
…00001000010000
3121210202012020000
432113320020100
5443212441430
635532250000
75655441525
oct1627701020
9553665200
10241140240
11114132260
1268910900
133ac5cb43
142405114c
1516283e60
hexe5f8210

241140240 has 400 divisors, whose sum is σ = 972259200. Its totient is φ = 54743040.

The previous prime is 241140233. The next prime is 241140241. The reversal of 241140240 is 42041142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (241140241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1211661 + ... + 1211859.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2241140240 is an apocalyptic number.

241140240 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 241140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486129600).

241140240 is an abundant number, since it is smaller than the sum of its proper divisors (731118960).

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

241140240 is a wasteful number, since it uses less digits than its factorization.

241140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241140240 is about 15528.6908656203. The cubic root of 241140240 is about 622.4291108128.

Adding to 241140240 its reverse (42041142), we get a palindrome (283181382).

The spelling of 241140240 in words is "two hundred forty-one million, one hundred forty thousand, two hundred forty".