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241201120 = 25529227229
BaseRepresentation
bin11100110000001…
…10111111100000
3121210212021201211
432120012333200
5443221413440
635533435504
75656114156
oct1630067740
9553767654
10241201120
11114173a76
126893bb94
133ac81774
14240693d6
1516296eea
hexe606fe0

241201120 has 96 divisors (see below), whose sum is σ = 594669600. Its totient is φ = 92338176.

The previous prime is 241201109. The next prime is 241201153. The reversal of 241201120 is 21102142.

It is a happy number.

241201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053166 + ... + 1053394.

It is an arithmetic number, because the mean of its divisors is an integer number (6194475).

Almost surely, 2241201120 is an apocalyptic number.

241201120 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 241201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297334800).

241201120 is an abundant number, since it is smaller than the sum of its proper divisors (353468480).

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

241201120 is a wasteful number, since it uses less digits than its factorization.

241201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 241201120 is about 15530.6509844243. The cubic root of 241201120 is about 622.4814873824.

Adding to 241201120 its reverse (21102142), we get a palindrome (262303262).

The spelling of 241201120 in words is "two hundred forty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 227 229 232 290 454 458 464 580 908 916 928 1135 1145 1160 1816 1832 2270 2290 2320 3632 3664 4540 4580 4640 6583 6641 7264 7328 9080 9160 13166 13282 18160 18320 26332 26564 32915 33205 36320 36640 51983 52664 53128 65830 66410 103966 105328 106256 131660 132820 207932 210656 212512 259915 263320 265640 415864 519830 526640 531280 831728 1039660 1053280 1062560 1507507 1663456 2079320 3015014 4158640 6030028 7537535 8317280 12060056 15075070 24120112 30150140 48240224 60300280 120600560 241201120