Search a number
-
+
242176020 = 22359741611
BaseRepresentation
bin11100110111101…
…01000000010100
3121212200211001020
432123311000110
5443444113040
640010401140
76000314352
oct1633650024
9555624036
10242176020
1111477a479
12691301b0
133b233428
14242407d2
15163dacd0
hexe6f5014

242176020 has 48 divisors (see below), whose sum is σ = 685099968. Its totient is φ = 63912960.

The previous prime is 242175979. The next prime is 242176021. The reversal of 242176020 is 20671242.

242176020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242176021) 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, 14986 + ... + 26625.

It is an arithmetic number, because the mean of its divisors is an integer number (14272916).

Almost surely, 2242176020 is an apocalyptic number.

242176020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242176020 is an abundant number, since it is smaller than the sum of its proper divisors (442923948).

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

242176020 is a wasteful number, since it uses less digits than its factorization.

242176020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41720 (or 41718 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 242176020 is about 15562.0056547991. The cubic root of 242176020 is about 623.3190200100.

The spelling of 242176020 in words is "two hundred forty-two million, one hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 41611 83222 124833 166444 208055 249666 416110 499332 624165 832220 1248330 2496660 4036267 8072534 12108801 16145068 20181335 24217602 40362670 48435204 60544005 80725340 121088010 242176020