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242678160 = 24335283397
BaseRepresentation
bin11100111011011…
…11100110010000
3121220122022212000
432131233212100
5444111200120
640025234000
76004505334
oct1635574620
9556568760
10242678160
11114a9276a
1269332900
133b37ab5a
14243317c4
1516489990
hexe76f990

242678160 has 160 divisors (see below), whose sum is σ = 840958080. Its totient is φ = 64323072.

The previous prime is 242678159. The next prime is 242678173. The reversal of 242678160 is 61876242.

242678160 is a `hidden beast` number, since 2 + 426 + 78 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611082 + ... + 611478.

It is an arithmetic number, because the mean of its divisors is an integer number (5255988).

Almost surely, 2242678160 is an apocalyptic number.

242678160 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 242678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420479040).

242678160 is an abundant number, since it is smaller than the sum of its proper divisors (598279920).

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

242678160 is a wasteful number, since it uses less digits than its factorization.

242678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242678160 is about 15578.1308249738. The cubic root of 242678160 is about 623.7495296535.

The spelling of 242678160 in words is "two hundred forty-two million, six hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 283 360 397 432 540 566 720 794 849 1080 1132 1191 1415 1588 1698 1985 2160 2264 2382 2547 2830 3176 3396 3573 3970 4245 4528 4764 5094 5660 5955 6352 6792 7146 7641 7940 8490 9528 10188 10719 11320 11910 12735 13584 14292 15282 15880 16980 17865 19056 20376 21438 22640 23820 25470 28584 30564 31760 33960 35730 38205 40752 42876 47640 50940 53595 57168 61128 67920 71460 76410 85752 95280 101880 107190 112351 122256 142920 152820 171504 203760 214380 224702 285840 305640 337053 428760 449404 561755 611280 674106 857520 898808 1011159 1123510 1348212 1685265 1797616 2022318 2247020 2696424 3033477 3370530 4044636 4494040 5055795 5392848 6066954 6741060 8089272 8988080 10111590 12133908 13482120 15167385 16178544 20223180 24267816 26964240 30334770 40446360 48535632 60669540 80892720 121339080 242678160