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242743020 = 2235133110039
BaseRepresentation
bin11100111011111…
…11011011101100
3121220202121211020
432131333123230
5444120234040
640030454140
76005165412
oct1635773354
9556677736
10242743020
11115027473
1269364350
133b3a1530
142434b2b2
151649dcd0
hexe77f6ec

242743020 has 96 divisors (see below), whose sum is σ = 755650560. Its totient is φ = 57818880.

The previous prime is 242743013. The next prime is 242743037. The reversal of 242743020 is 20347242.

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, 19161 + ... + 29199.

It is an arithmetic number, because the mean of its divisors is an integer number (7871360).

Almost surely, 2242743020 is an apocalyptic number.

242743020 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 242743020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377825280).

242743020 is an abundant number, since it is smaller than the sum of its proper divisors (512907540).

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

242743020 is a wasteful number, since it uses less digits than its factorization.

242743020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242743020 is about 15580.2124504129. The cubic root of 242743020 is about 623.8050940421.

The spelling of 242743020 in words is "two hundred forty-two million, seven hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 10039 12090 20078 24180 30117 40156 50195 60234 100390 120468 130507 150585 200780 261014 301170 311209 391521 522028 602340 622418 652535 783042 933627 1244836 1305070 1556045 1566084 1867254 1957605 2610140 3112090 3734508 3915210 4045717 4668135 6224180 7830420 8091434 9336270 12137151 16182868 18672540 20228585 24274302 40457170 48548604 60685755 80914340 121371510 242743020