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242131240 = 23513412277
BaseRepresentation
bin11100110111010…
…10000100101000
3121212121112121201
432123222010220
5443441144430
640005413544
76000036661
oct1633520450
9555545551
10242131240
1111474986a
126910a2b4
133b218c30
142422c368
15163cc8ca
hexe6ea128

242131240 has 96 divisors (see below), whose sum is σ = 603532440. Its totient is φ = 86906880.

The previous prime is 242131223. The next prime is 242131259. The reversal of 242131240 is 42131242.

It can be written as a sum of positive squares in 12 ways, for example, as 80892036 + 161239204 = 8994^2 + 12698^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873982 + ... + 874258.

Almost surely, 2242131240 is an apocalyptic number.

242131240 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 242131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301766220).

242131240 is an abundant number, since it is smaller than the sum of its proper divisors (361401200).

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

242131240 is a wasteful number, since it uses less digits than its factorization.

242131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 242131240 is about 15560.5668277219. The cubic root of 242131240 is about 623.2805989939.

Adding to 242131240 its reverse (42131242), we get a palindrome (284262482).

The spelling of 242131240 in words is "two hundred forty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 277 328 410 520 533 554 820 1066 1108 1385 1640 1681 2132 2216 2665 2770 3362 3601 4264 5330 5540 6724 7202 8405 10660 11080 11357 13448 14404 16810 18005 21320 21853 22714 28808 33620 36010 43706 45428 56785 67240 72020 87412 90856 109265 113570 144040 147641 174824 218530 227140 295282 437060 454280 465637 590564 738205 874120 931274 1181128 1476410 1862548 2328185 2952820 3725096 4656370 5905640 6053281 9312740 12106562 18625480 24213124 30266405 48426248 60532810 121065620 242131240