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241538040 = 233251761647
BaseRepresentation
bin11100110010110…
…01001111111000
3121211111101220100
432121121033320
5443313204130
635544555400
75662016352
oct1631311770
9554441810
10241538040
11114384117
1268a82b60
133b06bc23
14241160d2
1516311c60
hexe6593f8

241538040 has 192 divisors, whose sum is σ = 846106560. Its totient is φ = 59535360.

The previous prime is 241538021. The next prime is 241538069. The reversal of 241538040 is 40835142.

241538040 is a `hidden beast` number, since 241 + 5 + 380 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241537995 and 241538013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372997 + ... + 373643.

It is an arithmetic number, because the mean of its divisors is an integer number (4406805).

Almost surely, 2241538040 is an apocalyptic number.

241538040 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 241538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423053280).

241538040 is an abundant number, since it is smaller than the sum of its proper divisors (604568520).

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

241538040 is a wasteful number, since it uses less digits than its factorization.

241538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 241538040 is about 15541.4941366652. The cubic root of 241538040 is about 622.7711887553.

The spelling of 241538040 in words is "two hundred forty-one million, five hundred thirty-eight thousand, forty".