Search a number
-
+
242051070 = 23519715981
BaseRepresentation
bin11100110110101…
…10011111111110
3121212110110122110
432123112133332
5443431113240
640003554450
75666254152
oct1633263776
9555413573
10242051070
111146a4608
126908ba26
133b1bb5b1
142420b062
15163b3c80
hexe6d67fe

242051070 has 64 divisors (see below), whose sum is σ = 620213760. Its totient is φ = 60278400.

The previous prime is 242051039. The next prime is 242051071. The reversal of 242051070 is 70150242.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242051071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37480 + ... + 43460.

It is an arithmetic number, because the mean of its divisors is an integer number (9690840).

Almost surely, 2242051070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242051070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310106880).

242051070 is an abundant number, since it is smaller than the sum of its proper divisors (378162690).

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

242051070 is a wasteful number, since it uses less digits than its factorization.

242051070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 242051070 is about 15557.9905514819. The cubic root of 242051070 is about 623.2118017010.

The spelling of 242051070 in words is "two hundred forty-two million, fifty-one thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 114 142 190 213 285 355 426 570 710 1065 1349 2130 2698 4047 5981 6745 8094 11962 13490 17943 20235 29905 35886 40470 59810 89715 113639 179430 227278 340917 424651 568195 681834 849302 1136390 1273953 1704585 2123255 2547906 3409170 4246510 6369765 8068369 12739530 16136738 24205107 40341845 48410214 80683690 121025535 242051070