Search a number
-
+
242020540 = 22541714157
BaseRepresentation
bin11100110110011…
…11000010111100
3121212101220202201
432123033002330
5443424124130
640003201244
75666066146
oct1633170274
9555356681
10242020540
11114683683
1269076224
133b1aa728
14241ddc96
15163a9bca
hexe6cf0bc

242020540 has 48 divisors (see below), whose sum is σ = 528099264. Its totient is φ = 93094400.

The previous prime is 242020507. The next prime is 242020547. The reversal of 242020540 is 45020242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242020547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56142 + ... + 60298.

It is an arithmetic number, because the mean of its divisors is an integer number (11002068).

Almost surely, 2242020540 is an apocalyptic number.

242020540 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 242020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264049632).

242020540 is an abundant number, since it is smaller than the sum of its proper divisors (286078724).

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

242020540 is a wasteful number, since it uses less digits than its factorization.

242020540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 242020540 is about 15557.0093527002. The cubic root of 242020540 is about 623.1855986132.

Adding to 242020540 its reverse (45020242), we get a palindrome (287040782).

The spelling of 242020540 in words is "two hundred forty-two million, twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 710 820 1420 2911 4157 5822 8314 11644 14555 16628 20785 29110 41570 58220 83140 170437 295147 340874 590294 681748 852185 1180588 1475735 1704370 2951470 3408740 5902940 12101027 24202054 48404108 60505135 121010270 242020540