Search a number
-
+
242147620 = 2251121343179
BaseRepresentation
bin11100110111011…
…10000100100100
3121212122101002101
432123232010210
5443442210440
640010021444
76000135511
oct1633560444
9555571071
10242147620
11114760100
1269117884
133b223520
1424234308
15163d269a
hexe6ee124

242147620 has 144 divisors (see below), whose sum is σ = 619375680. Its totient is φ = 78946560.

The previous prime is 242147617. The next prime is 242147621. The reversal of 242147620 is 26741242.

It is a happy number.

242147620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242147621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352691 + ... + 1352869.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 2242147620 is an apocalyptic number.

242147620 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 242147620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309687840).

242147620 is an abundant number, since it is smaller than the sum of its proper divisors (377228060).

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

242147620 is a wasteful number, since it uses less digits than its factorization.

242147620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 242147620 is about 15561.0931492617. The cubic root of 242147620 is about 623.2946535014.

Adding to 242147620 its reverse (26741242), we get a palindrome (268888862).

The spelling of 242147620 in words is "two hundred forty-two million, one hundred forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 121 130 143 172 179 215 220 242 260 286 358 430 473 484 559 572 605 715 716 860 895 946 1118 1210 1430 1573 1790 1892 1969 2236 2327 2365 2420 2795 2860 3146 3580 3938 4654 4730 5203 5590 6149 6292 7697 7865 7876 9308 9460 9845 10406 11180 11635 12298 15394 15730 19690 20812 21659 23270 24596 25597 26015 30745 30788 31460 38485 39380 43318 46540 51194 52030 61490 67639 76970 84667 86636 100061 102388 104060 108295 122980 127985 135278 153940 169334 200122 216590 255970 270556 281567 338195 338668 400244 423335 433180 500305 511940 563134 676390 846670 931337 1000610 1100671 1126268 1352780 1407835 1693340 1862674 2001220 2201342 2815670 3725348 4402684 4656685 5503355 5631340 9313370 11006710 12107381 18626740 22013420 24214762 48429524 60536905 121073810 242147620