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241081272 = 23351961107
BaseRepresentation
bin11100101111010…
…01101110111000
3121210122012100000
432113221232320
5443204100042
635531113000
75655104565
oct1627515670
9553565300
10241081272
111140a1a23
12688a2760
133ac3c053
142403786c
151627174c
hexe5e9bb8

241081272 has 192 divisors, whose sum is σ = 731203200. Its totient is φ = 74183040.

The previous prime is 241081261. The next prime is 241081277. The reversal of 241081272 is 272180142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241081277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253043 + ... + 2253149.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2241081272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241081272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

241081272 is an abundant number, since it is smaller than the sum of its proper divisors (490121928).

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

241081272 is a wasteful number, since it uses less digits than its factorization.

241081272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 241081272 is about 15526.7920704826. The cubic root of 241081272 is about 622.3783707786.

The spelling of 241081272 in words is "two hundred forty-one million, eighty-one thousand, two hundred seventy-two".