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242532020 = 225116310427
BaseRepresentation
bin11100111010010…
…11111010110100
3121220100220101102
432131023322310
5444042011040
640022145232
76003326303
oct1635137264
9556326342
10242532020
111149a2995
1269282218
133b329493
14242d443a
151645b515
hexe74beb4

242532020 has 24 divisors (see below), whose sum is σ = 509804064. Its totient is φ = 96920096.

The previous prime is 242532011. The next prime is 242532023. The reversal of 242532020 is 20235242.

242532020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242531983 and 242532001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242532023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18047 + ... + 28473.

It is an arithmetic number, because the mean of its divisors is an integer number (21241836).

Almost surely, 2242532020 is an apocalyptic number.

242532020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242532020 is an abundant number, since it is smaller than the sum of its proper divisors (267272044).

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

242532020 is a wasteful number, since it uses less digits than its factorization.

242532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 242532020 is about 15573.4395687016. The cubic root of 242532020 is about 623.6242978649.

Adding to 242532020 its reverse (20235242), we get a palindrome (262767262).

The spelling of 242532020 in words is "two hundred forty-two million, five hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1163 2326 4652 5815 10427 11630 20854 23260 41708 52135 104270 208540 12126601 24253202 48506404 60633005 121266010 242532020