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242043960 = 233517592011
BaseRepresentation
bin11100110110101…
…00110000111000
3121212110002220010
432123110300320
5443430401320
640003501520
75666224344
oct1633246070
9555402803
10242043960
1111469a234
12690878a0
133b1b82a2
1424208624
15163b1ae0
hexe6d4c38

242043960 has 128 divisors (see below), whose sum is σ = 782265600. Its totient is φ = 59688960.

The previous prime is 242043929. The next prime is 242044007. The reversal of 242043960 is 69340242.

242043960 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is a congruent number.

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, 119355 + ... + 121365.

It is an arithmetic number, because the mean of its divisors is an integer number (6111450).

Almost surely, 2242043960 is an apocalyptic number.

242043960 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 242043960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391132800).

242043960 is an abundant number, since it is smaller than the sum of its proper divisors (540221640).

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

242043960 is a wasteful number, since it uses less digits than its factorization.

242043960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 242043960 is about 15557.7620498579. The cubic root of 242043960 is about 623.2056995738.

The spelling of 242043960 in words is "two hundred forty-two million, forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 59 60 68 85 102 118 120 136 170 177 204 236 255 295 340 354 408 472 510 590 680 708 885 1003 1020 1180 1416 1770 2006 2011 2040 2360 3009 3540 4012 4022 5015 6018 6033 7080 8024 8044 10030 10055 12036 12066 15045 16088 20060 20110 24072 24132 30090 30165 34187 40120 40220 48264 60180 60330 68374 80440 102561 118649 120360 120660 136748 170935 205122 237298 241320 273496 341870 355947 410244 474596 512805 593245 683740 711894 820488 949192 1025610 1186490 1367480 1423788 1779735 2017033 2051220 2372980 2847576 3559470 4034066 4102440 4745960 6051099 7118940 8068132 10085165 12102198 14237880 16136264 20170330 24204396 30255495 40340660 48408792 60510990 80681320 121021980 242043960