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241150420 = 22574767547
BaseRepresentation
bin11100101111110…
…10100111010100
3121210202201012001
432113322213110
5443213303140
635532405044
75655513310
oct1627724724
9553681161
10241150420
11114139975
1268916784
133ac64674
1424054b40
1516286e9a
hexe5fa9d4

241150420 has 96 divisors (see below), whose sum is σ = 600993792. Its totient is φ = 79567488.

The previous prime is 241150417. The next prime is 241150421. The reversal of 241150420 is 24051142.

241150420 is digitally balanced in base 3, 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 (241150421) 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 31 ways as a sum of consecutive naturals, for example, 440587 + ... + 441133.

It is an arithmetic number, because the mean of its divisors is an integer number (6260352).

Almost surely, 2241150420 is an apocalyptic number.

241150420 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 241150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300496896).

241150420 is an abundant number, since it is smaller than the sum of its proper divisors (359843372).

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

241150420 is a wasteful number, since it uses less digits than its factorization.

241150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 241150420 is about 15529.0186425286. The cubic root of 241150420 is about 622.4378695323.

The spelling of 241150420 in words is "two hundred forty-one million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 67 70 94 134 140 188 235 268 329 335 469 470 547 658 670 938 940 1094 1316 1340 1645 1876 2188 2345 2735 3149 3290 3829 4690 5470 6298 6580 7658 9380 10940 12596 15316 15745 19145 22043 25709 31490 36649 38290 44086 51418 62980 73298 76580 88172 102836 110215 128545 146596 179963 183245 220430 256543 257090 359926 366490 440860 513086 514180 719852 732980 899815 1026172 1282715 1722503 1799630 2565430 3445006 3599260 5130860 6890012 8612515 12057521 17225030 24115042 34450060 48230084 60287605 120575210 241150420