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242301280 = 25513116491
BaseRepresentation
bin11100111000100…
…11100101100000
3121212221011212111
432130103211200
5444012120110
640013205104
76001345504
oct1634234540
9555834774
10242301280
111148555a1
1269190794
133b278450
1424274304
1516412e8a
hexe713960

242301280 has 48 divisors (see below), whose sum is σ = 616475664. Its totient is φ = 89464320.

The previous prime is 242301229. The next prime is 242301287. The reversal of 242301280 is 82103242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242301287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56166 + ... + 60325.

It is an arithmetic number, because the mean of its divisors is an integer number (12843243).

Almost surely, 2242301280 is an apocalyptic number.

242301280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242301280 is an abundant number, since it is smaller than the sum of its proper divisors (374174384).

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

242301280 is a wasteful number, since it uses less digits than its factorization.

242301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116519 (or 116511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 242301280 is about 15566.0296800437. The cubic root of 242301280 is about 623.4264673165.

The spelling of 242301280 in words is "two hundred forty-two million, three hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 116491 232982 465964 582455 931928 1164910 1514383 1863856 2329820 3028766 3727712 4659640 6057532 7571915 9319280 12115064 15143830 18638560 24230128 30287660 48460256 60575320 121150640 242301280