Search a number
-
+
242107710 = 23513217532
BaseRepresentation
bin11100110111001…
…00010100111110
3121212120100100020
432123210110332
5443434421320
640005113010
75666611245
oct1633442476
9555510306
10242107710
11114733119
12690b8766
133b20b300
142422395c
15163c5940
hexe6e453e

242107710 has 144 divisors (see below), whose sum is σ = 679011984. Its totient is φ = 55031808.

The previous prime is 242107661. The next prime is 242107711. The reversal of 242107710 is 17701242.

It is a super-2 number, since 2×2421077102 = 117232286482888200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242107711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4568044 + ... + 4568096.

It is an arithmetic number, because the mean of its divisors is an integer number (4715361).

Almost surely, 2242107710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242107710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339505992).

242107710 is an abundant number, since it is smaller than the sum of its proper divisors (436904274).

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

242107710 is a wasteful number, since it uses less digits than its factorization.

242107710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 242107710 is about 15559.8107314967. The cubic root of 242107710 is about 623.2604084730.

Adding to 242107710 its reverse (17701242), we get a palindrome (259808952).

The spelling of 242107710 in words is "two hundred forty-two million, one hundred seven thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 53 65 78 85 102 106 130 159 169 170 195 221 255 265 318 338 390 442 507 510 530 663 689 795 845 901 1014 1105 1326 1378 1590 1690 1802 2067 2210 2535 2703 2809 2873 3315 3445 4134 4505 5070 5406 5618 5746 6630 6890 8427 8619 8957 9010 10335 11713 13515 14045 14365 16854 17238 17914 20670 23426 26871 27030 28090 28730 35139 36517 42135 43095 44785 47753 53742 58565 70278 73034 84270 86190 89570 95506 109551 117130 134355 143259 152269 175695 182585 219102 238765 268710 286518 304538 351390 365170 456807 474721 477530 547755 620789 716295 761345 913614 949442 1095510 1241578 1424163 1432590 1522690 1862367 2284035 2373605 2848326 3103945 3724734 4568070 4747210 6207890 7120815 8070257 9311835 14241630 16140514 18623670 24210771 40351285 48421542 80702570 121053855 242107710