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235742260 = 22513906701
BaseRepresentation
bin11100000110100…
…10010000110100
3121102120221120211
432003102100310
5440322223020
635220435204
75561530135
oct1603222064
9542527524
10235742260
11111085716
1266b48b04
1339abcb80
1423447c8c
1515a6985a
hexe0d2434

235742260 has 24 divisors (see below), whose sum is σ = 533140776. Its totient is φ = 87043200.

The previous prime is 235742237. The next prime is 235742261. The reversal of 235742260 is 62247532.

It can be written as a sum of positive squares in 4 ways, for example, as 17943696 + 217798564 = 4236^2 + 14758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235742261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 453091 + ... + 453610.

It is an arithmetic number, because the mean of its divisors is an integer number (22214199).

Almost surely, 2235742260 is an apocalyptic number.

235742260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235742260 is an abundant number, since it is smaller than the sum of its proper divisors (297398516).

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

235742260 is a wasteful number, since it uses less digits than its factorization.

235742260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906723 (or 906721 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 235742260 is about 15353.9004816366. The cubic root of 235742260 is about 617.7496114237.

Adding to 235742260 its reverse (62247532), we get a palindrome (297989792).

The spelling of 235742260 in words is "two hundred thirty-five million, seven hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 906701 1813402 3626804 4533505 9067010 11787113 18134020 23574226 47148452 58935565 117871130 235742260