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136681040 = 2451708513
BaseRepresentation
bin10000010010110…
…01011001010000
3100112012010010202
420021121121100
5234442243130
621321314332
73246524666
oct1011313120
9315163122
10136681040
1170175541
12399359a8
1322417772
141421cc36
15beed145
hex8259650

136681040 has 20 divisors (see below), whose sum is σ = 317783604. Its totient is φ = 54672384.

The previous prime is 136681033. The next prime is 136681043. The reversal of 136681040 is 40186631.

It can be written as a sum of positive squares in 2 ways, for example, as 37797904 + 98883136 = 6148^2 + 9944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 136680994 and 136681012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136681043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 854177 + ... + 854336.

Almost surely, 2136681040 is an apocalyptic number.

136681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136681040 is an abundant number, since it is smaller than the sum of its proper divisors (181102564).

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

136681040 is a wasteful number, since it uses less digits than its factorization.

136681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708526 (or 1708520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 136681040 is about 11691.0666750301. The cubic root of 136681040 is about 515.1132939550.

The spelling of 136681040 in words is "one hundred thirty-six million, six hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1708513 3417026 6834052 8542565 13668104 17085130 27336208 34170260 68340520 136681040