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242912020 = 22513934277
BaseRepresentation
bin11100111101010…
…00101100010100
3121221002012122111
432132220230110
5444141141040
640034240404
76006501211
oct1636505424
9557065574
10242912020
1111513243a
1269426104
133b430430
1424392b08
15164d3dea
hexe7a8b14

242912020 has 24 divisors (see below), whose sum is σ = 549355464. Its totient is φ = 89690496.

The previous prime is 242912009. The next prime is 242912023. The reversal of 242912020 is 20219242.

242912020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 232074756 = 3292^2 + 15234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242911982 and 242912000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242912023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466879 + ... + 467398.

It is an arithmetic number, because the mean of its divisors is an integer number (22889811).

Almost surely, 2242912020 is an apocalyptic number.

242912020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242912020 is an abundant number, since it is smaller than the sum of its proper divisors (306443444).

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

242912020 is a wasteful number, since it uses less digits than its factorization.

242912020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934299 (or 934297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 242912020 is about 15585.6350528299. The cubic root of 242912020 is about 623.9498268064.

The spelling of 242912020 in words is "two hundred forty-two million, nine hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 934277 1868554 3737108 4671385 9342770 12145601 18685540 24291202 48582404 60728005 121456010 242912020