Search a number
-
+
242419020 = 22354040317
BaseRepresentation
bin11100111001100…
…00010101001100
3121220011011101020
432130300111030
5444024402040
640015514140
76002345664
oct1634602514
9556134336
10242419020
11114925aa8
1269228950
133b2b9c0c
14242a51a4
1516437cd0
hexe73054c

242419020 has 24 divisors (see below), whose sum is σ = 678773424. Its totient is φ = 64645056.

The previous prime is 242419003. The next prime is 242419027. The reversal of 242419020 is 20914242.

It is not an unprimeable number, because it can be changed into a prime (242419027) 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 7 ways as a sum of consecutive naturals, for example, 2020099 + ... + 2020218.

It is an arithmetic number, because the mean of its divisors is an integer number (28282226).

Almost surely, 2242419020 is an apocalyptic number.

242419020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242419020 is an abundant number, since it is smaller than the sum of its proper divisors (436354404).

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

242419020 is a wasteful number, since it uses less digits than its factorization.

242419020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040329 (or 4040327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 242419020 is about 15569.8111741922. The cubic root of 242419020 is about 623.5274302529.

The spelling of 242419020 in words is "two hundred forty-two million, four hundred nineteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4040317 8080634 12120951 16161268 20201585 24241902 40403170 48483804 60604755 80806340 121209510 242419020