Search a number
-
+
242843580 = 223257375209
BaseRepresentation
bin11100111100101…
…11111110111100
3121220221201202200
432132113332330
5444131443310
640032551500
76006064530
oct1636277674
9556851680
10242843580
11115095a81
12693b2590
133b408235
1424375bc0
15164bd9c0
hexe797fbc

242843580 has 144 divisors (see below), whose sum is σ = 864776640. Its totient is φ = 53996544.

The previous prime is 242843569. The next prime is 242843599. The reversal of 242843580 is 85348242.

242843580 is a `hidden beast` number, since 24 + 284 + 358 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44016 + ... + 49224.

Almost surely, 2242843580 is an apocalyptic number.

242843580 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 242843580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432388320).

242843580 is an abundant number, since it is smaller than the sum of its proper divisors (621933060).

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

242843580 is a wasteful number, since it uses less digits than its factorization.

242843580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 242843580 is about 15583.4392866273. The cubic root of 242843580 is about 623.8912224095.

The spelling of 242843580 in words is "two hundred forty-two million, eight hundred forty-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 5209 6660 7770 9324 10418 11655 15540 15627 20836 23310 26045 31254 36463 46620 46881 52090 62508 72926 78135 93762 104180 109389 145852 156270 182315 187524 192733 218778 234405 312540 328167 364630 385466 437556 468810 546945 578199 656334 729260 770932 937620 963665 1093890 1156398 1312668 1349131 1640835 1734597 1927330 2187780 2312796 2698262 2890995 3281670 3469194 3854660 4047393 5396524 5781990 6563340 6745655 6938388 8094786 8672985 11563980 12142179 13491310 16189572 17345970 20236965 24284358 26982620 34691940 40473930 48568716 60710895 80947860 121421790 242843580