Search a number
-
+
241320420 = 2232511307397
BaseRepresentation
bin11100110001001…
…00000111100100
3121211002100101100
432120210013210
5443234223140
635540200100
75660122035
oct1630440744
9554070340
10241320420
11114245670
1268999030
133acc3b63
142409aa8c
15162bc530
hexe6241e4

241320420 has 144 divisors (see below), whose sum is σ = 803170368. Its totient is φ = 58164480.

The previous prime is 241320413. The next prime is 241320421. The reversal of 241320420 is 24023142.

241320420 is a `hidden beast` number, since 241 + 3 + 2 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241320393 and 241320402.

It is not an unprimeable number, because it can be changed into a prime (241320421) 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, 607662 + ... + 608058.

It is an arithmetic number, because the mean of its divisors is an integer number (5577572).

Almost surely, 2241320420 is an apocalyptic number.

241320420 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 241320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401585184).

241320420 is an abundant number, since it is smaller than the sum of its proper divisors (561849948).

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

241320420 is a wasteful number, since it uses less digits than its factorization.

241320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241320420 is about 15534.4913016165. The cubic root of 241320420 is about 622.5840985716.

Adding to 241320420 its reverse (24023142), we get a palindrome (265343562).

The spelling of 241320420 in words is "two hundred forty-one million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 307 330 396 397 495 614 660 794 921 990 1191 1228 1535 1588 1842 1980 1985 2382 2763 3070 3377 3573 3684 3970 4367 4605 4764 5526 5955 6140 6754 7146 7940 8734 9210 10131 11052 11910 13101 13508 13815 14292 16885 17468 17865 18420 20262 21835 23820 26202 27630 30393 33770 35730 39303 40524 43670 50655 52404 55260 60786 65505 67540 71460 78606 87340 101310 121572 121879 131010 151965 157212 196515 202620 243758 262020 303930 365637 393030 487516 607860 609395 731274 786060 1096911 1218790 1340669 1462548 1828185 2193822 2437580 2681338 3656370 4022007 4387644 5362676 5484555 6703345 7312740 8044014 10969110 12066021 13406690 16088028 20110035 21938220 24132042 26813380 40220070 48264084 60330105 80440140 120660210 241320420