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235132040 = 2351121337101
BaseRepresentation
bin11100000001111…
…01010010001000
3121101102221112002
432000331102020
5440143211130
635155410132
75553406103
oct1600752210
9541387462
10235132040
111107a9200
12668b3948
13399381b0
142332973a
1515998b45
hexe03d488

235132040 has 192 divisors, whose sum is σ = 649540080. Its totient is φ = 76032000.

The previous prime is 235132033. The next prime is 235132043. The reversal of 235132040 is 40231532.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 174821284 + 60310756 = 13222^2 + 7766^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235132043) 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 47 ways as a sum of consecutive naturals, for example, 2327990 + ... + 2328090.

Almost surely, 2235132040 is an apocalyptic number.

235132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324770040).

235132040 is an abundant number, since it is smaller than the sum of its proper divisors (414408040).

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

235132040 is a wasteful number, since it uses less digits than its factorization.

235132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 235132040 is about 15334.0157819144. The cubic root of 235132040 is about 617.2161348868.

Adding to 235132040 its reverse (40231532), we get a palindrome (275363572).

The spelling of 235132040 in words is "two hundred thirty-five million, one hundred thirty-two thousand, forty".