[go: up one dir, main page]

Search a number
-
+
242030620 = 225133592593
BaseRepresentation
bin11100110110100…
…01100000011100
3121212102102121001
432123101200130
5443424434440
640003320044
75666140426
oct1633214034
9555372531
10242030620
11114690207
1269080024
133b1b21b0
1424203816
15163acb9a
hexe6d181c

242030620 has 48 divisors (see below), whose sum is σ = 549097920. Its totient is φ = 89081856.

The previous prime is 242030611. The next prime is 242030623. The reversal of 242030620 is 26030242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242030623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92044 + ... + 94636.

It is an arithmetic number, because the mean of its divisors is an integer number (11439540).

Almost surely, 2242030620 is an apocalyptic number.

242030620 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 242030620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274548960).

242030620 is an abundant number, since it is smaller than the sum of its proper divisors (307067300).

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

242030620 is a wasteful number, since it uses less digits than its factorization.

242030620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242030620 is about 15557.3333190493. Note that the first 4 decimals coincide. The cubic root of 242030620 is about 623.1942502530.

Adding to 242030620 its reverse (26030242), we get a palindrome (268060862).

The spelling of 242030620 in words is "two hundred forty-two million, thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 359 718 1436 1795 2593 3590 4667 5186 7180 9334 10372 12965 18668 23335 25930 33709 46670 51860 67418 93340 134836 168545 337090 674180 930887 1861774 3723548 4654435 9308870 12101531 18617740 24203062 48406124 60507655 121015310 242030620