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242118380 = 225737431087
BaseRepresentation
bin11100110111001…
…10111011101100
3121212120212222102
432123212323230
5443440242010
640005234232
75666654330
oct1633467354
9555525872
10242118380
11114740139
1269102978
133b21311a
14242277c0
15163c8ba5
hexe6e6eec

242118380 has 96 divisors (see below), whose sum is σ = 611229696. Its totient is φ = 78817536.

The previous prime is 242118379. The next prime is 242118391. The reversal of 242118380 is 83811242.

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, 222197 + ... + 223283.

It is an arithmetic number, because the mean of its divisors is an integer number (6366976).

Almost surely, 2242118380 is an apocalyptic number.

242118380 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 242118380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305614848).

242118380 is an abundant number, since it is smaller than the sum of its proper divisors (369111316).

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

242118380 is a wasteful number, since it uses less digits than its factorization.

242118380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 242118380 is about 15560.1535982136. The cubic root of 242118380 is about 623.2695643027.

The spelling of 242118380 in words is "two hundred forty-two million, one hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 43 70 74 86 140 148 172 185 215 259 301 370 430 518 602 740 860 1036 1087 1204 1295 1505 1591 2174 2590 3010 3182 4348 5180 5435 6020 6364 7609 7955 10870 11137 15218 15910 21740 22274 30436 31820 38045 40219 44548 46741 55685 76090 80438 93482 111370 152180 160876 186964 201095 222740 233705 281533 327187 402190 467410 563066 654374 804380 934820 1126132 1308748 1407665 1635935 1729417 2815330 3271870 3458834 5630660 6543740 6917668 8647085 12105919 17294170 24211838 34588340 48423676 60529595 121059190 242118380