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241608920 = 23571675167
BaseRepresentation
bin11100110011010…
…10100011011000
3121211122000010112
432121222203120
5443322441140
635550303452
75662433120
oct1631524330
9554560115
10241608920
111144223a3
1268ab7b88
133b095277
1424133c80
1516327c65
hexe66a8d8

241608920 has 64 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 82325376.

The previous prime is 241608919. The next prime is 241608929. The reversal of 241608920 is 29806142.

241608920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241608929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44177 + ... + 49343.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2241608920 is an apocalyptic number.

241608920 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 241608920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

241608920 is an abundant number, since it is smaller than the sum of its proper divisors (383512360).

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

241608920 is a wasteful number, since it uses less digits than its factorization.

241608920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 241608920 is about 15543.7743164265. The cubic root of 241608920 is about 622.8321007683.

The spelling of 241608920 in words is "two hundred forty-one million, six hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 334 668 835 1169 1336 1670 2338 3340 4676 5167 5845 6680 9352 10334 11690 20668 23380 25835 36169 41336 46760 51670 72338 103340 144676 180845 206680 289352 361690 723380 862889 1446760 1725778 3451556 4314445 6040223 6903112 8628890 12080446 17257780 24160892 30201115 34515560 48321784 60402230 120804460 241608920