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253240420 = 22512662021
BaseRepresentation
bin11110001100000…
…10010001100100
3122122111221112211
433012002101210
51004312143140
641043453204
76163336156
oct1706022144
9578457484
10253240420
1111aa47304
1270987204
1340608604
14258c0ad6
15173742ea
hexf182464

253240420 has 12 divisors (see below), whose sum is σ = 531804924. Its totient is φ = 101296160.

The previous prime is 253240409. The next prime is 253240447. The reversal of 253240420 is 24042352.

It can be written as a sum of positive squares in 2 ways, for example, as 163635264 + 89605156 = 12792^2 + 9466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253240391 and 253240400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6330991 + ... + 6331030.

It is an arithmetic number, because the mean of its divisors is an integer number (44317077).

Almost surely, 2253240420 is an apocalyptic number.

253240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253240420 is an abundant number, since it is smaller than the sum of its proper divisors (278564504).

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

253240420 is a wasteful number, since it uses less digits than its factorization.

253240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662030 (or 12662028 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 253240420 is about 15913.5294639498. The cubic root of 253240420 is about 632.6706315250.

Adding to 253240420 its reverse (24042352), we get a palindrome (277282772).

The spelling of 253240420 in words is "two hundred fifty-three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12662021 25324042 50648084 63310105 126620210 253240420