Search a number
-
+
242059005 = 325173159173
BaseRepresentation
bin11100110110110…
…00011011111101
3121212110212112100
432123120123331
5443431342010
640004055313
75666316246
oct1633303375
9555425470
10242059005
111146aa571
1269094539
133b1c20a6
142420dccd
15163b62c0
hexe6d86fd

242059005 has 96 divisors (see below), whose sum is σ = 469048320. Its totient is φ = 114923520.

The previous prime is 242058991. The next prime is 242059009. The reversal of 242059005 is 500950242.

It is not a de Polignac number, because 242059005 - 216 = 241993469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242059005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242059009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399099 + ... + 1399271.

It is an arithmetic number, because the mean of its divisors is an integer number (4885920).

Almost surely, 2242059005 is an apocalyptic number.

It is an amenable number.

242059005 is a deficient number, since it is larger than the sum of its proper divisors (226989315).

242059005 is a wasteful number, since it uses less digits than its factorization.

242059005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 242059005 is about 15558.2455630447. The cubic root of 242059005 is about 623.2186117399.

It can be divided in two parts, 2420 and 59005, that added together give a triangular number (61425 = T350).

The spelling of 242059005 in words is "two hundred forty-two million, fifty-nine thousand, five".

Divisors: 1 3 5 9 15 17 31 45 51 59 85 93 153 155 173 177 255 279 295 465 519 527 531 765 865 885 1003 1395 1557 1581 1829 2595 2635 2655 2941 3009 4743 5015 5363 5487 7785 7905 8823 9027 9145 10207 14705 15045 16089 16461 23715 26469 26815 27435 30621 31093 44115 45135 48267 51035 80445 82305 91171 91863 93279 132345 153105 155465 173519 241335 273513 279837 316417 455855 459315 466395 520557 820539 867595 949251 1367565 1399185 1561671 1582085 2602785 2847753 4102695 4746255 5379089 7808355 14238765 16137267 26895445 48411801 80686335 242059005