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241505140 = 225101119557
BaseRepresentation
bin11100110010100…
…01001101110100
3121211102201202211
432121101031310
5443311131030
635544143204
75661521422
oct1631211564
9554381684
10241505140
11114361428
1268a67b04
133b059c66
1424108112
151630712a
hexe651374

241505140 has 24 divisors (see below), whose sum is σ = 512186472. Its totient is φ = 95644800.

The previous prime is 241505053. The next prime is 241505141. The reversal of 241505140 is 41505142.

241505140 = 4242 + 4252 + ... + 9282.

241505140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60279696 + 181225444 = 7764^2 + 13462^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241505141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57759 + ... + 61798.

It is an arithmetic number, because the mean of its divisors is an integer number (21341103).

Almost surely, 2241505140 is an apocalyptic number.

241505140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241505140 is an abundant number, since it is smaller than the sum of its proper divisors (270681332).

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

241505140 is a wasteful number, since it uses less digits than its factorization.

241505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119667 (or 119665 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 241505140 is about 15540.4356438293. The cubic root of 241505140 is about 622.7429114945.

The spelling of 241505140 in words is "two hundred forty-one million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 119557 239114 478228 597785 1195570 2391140 12075257 24150514 48301028 60376285 120752570 241505140