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242160320 = 2651939829
BaseRepresentation
bin11100110111100…
…01001011000000
3121212200000111202
432123301023000
5443443112240
640010200332
76000220523
oct1633611300
9555600452
10242160320
111147696a6
12691230a8
133b22923c
1424238bba
15163d6315
hexe6f12c0

242160320 has 56 divisors (see below), whose sum is σ = 607009200. Its totient is φ = 91763712.

The previous prime is 242160299. The next prime is 242160337. The reversal of 242160320 is 23061242.

242160320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242160292 and 242160301.

It is an unprimeable number.

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, 13835 + ... + 25994.

It is an arithmetic number, because the mean of its divisors is an integer number (10839450).

Almost surely, 2242160320 is an apocalyptic number.

242160320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242160320 is an abundant number, since it is smaller than the sum of its proper divisors (364848880).

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

242160320 is a wasteful number, since it uses less digits than its factorization.

242160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39865 (or 39855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 242160320 is about 15561.5012129293. The cubic root of 242160320 is about 623.3055500277.

The spelling of 242160320 in words is "two hundred forty-two million, one hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 39829 79658 159316 199145 318632 398290 637264 756751 796580 1274528 1513502 1593160 2549056 3027004 3186320 3783755 6054008 6372640 7567510 12108016 12745280 15135020 24216032 30270040 48432064 60540080 121080160 242160320