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235842640 = 24511268003
BaseRepresentation
bin11100000111010…
…10110001010000
3121102210001021121
432003222301100
5440333431030
635222532024
75562425605
oct1603526120
9542701247
10235842640
11111144080
1266b97014
1339b26777
14234726ac
1515a8947a
hexe0eac50

235842640 has 40 divisors (see below), whose sum is σ = 598184928. Its totient is φ = 85760640.

The previous prime is 235842631. The next prime is 235842671. The reversal of 235842640 is 46248532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 235842596 and 235842605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133122 + ... + 134881.

Almost surely, 2235842640 is an apocalyptic number.

235842640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235842640 is an abundant number, since it is smaller than the sum of its proper divisors (362342288).

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

235842640 is a wasteful number, since it uses less digits than its factorization.

235842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268027 (or 268021 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 235842640 is about 15357.1690099445. The cubic root of 235842640 is about 617.8372790694.

The spelling of 235842640 in words is "two hundred thirty-five million, eight hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 268003 536006 1072012 1340015 2144024 2680030 2948033 4288048 5360060 5896066 10720120 11792132 14740165 21440240 23584264 29480330 47168528 58960660 117921320 235842640