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135693940 = 2256784697
BaseRepresentation
bin10000001011010…
…00011001110100
3100110022222002111
420011220121310
5234214201230
621244220404
73235244104
oct1005503164
9313288074
10135693940
116a660958
123953a704
1322160395
1414043204
15bda592a
hex8168674

135693940 has 12 divisors (see below), whose sum is σ = 284957316. Its totient is φ = 54277568.

The previous prime is 135693937. The next prime is 135693947. The reversal of 135693940 is 49396531.

135693940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83247376 + 52446564 = 9124^2 + 7242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135693893 and 135693902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135693947) 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 3 ways as a sum of consecutive naturals, for example, 3392329 + ... + 3392368.

It is an arithmetic number, because the mean of its divisors is an integer number (23746443).

Almost surely, 2135693940 is an apocalyptic number.

135693940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135693940 is an abundant number, since it is smaller than the sum of its proper divisors (149263376).

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

135693940 is a wasteful number, since it uses less digits than its factorization.

135693940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784706 (or 6784704 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 135693940 is about 11648.7741844367. The cubic root of 135693940 is about 513.8702605221.

The spelling of 135693940 in words is "one hundred thirty-five million, six hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 6784697 13569394 27138788 33923485 67846970 135693940