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136682120 = 2353739161
BaseRepresentation
bin10000010010110…
…01101010001000
3100112012011121202
420021121222020
5234442311440
621321323332
73246531101
oct1011315210
9315164552
10136682120
1170176333
1239936548
13224180c3
141421d3a8
15beed615
hex8259a88

136682120 has 32 divisors (see below), whose sum is σ = 308392920. Its totient is φ = 54520320.

The previous prime is 136682111. The next prime is 136682129. The reversal of 136682120 is 21286631.

It is an interprime number because it is at equal distance from previous prime (136682111) and next prime (136682129).

It can be written as a sum of positive squares in 4 ways, for example, as 102131236 + 34550884 = 10106^2 + 5878^2 .

It is not an unprimeable number, because it can be changed into a prime (136682129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10340 + ... + 19500.

Almost surely, 2136682120 is an apocalyptic number.

136682120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136682120 is an abundant number, since it is smaller than the sum of its proper divisors (171710800).

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

136682120 is a wasteful number, since it uses less digits than its factorization.

136682120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9541 counting only the distinct ones).

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

The square root of 136682120 is about 11691.1128640519. The cubic root of 136682120 is about 515.1146506926.

The spelling of 136682120 in words is "one hundred thirty-six million, six hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 373 746 1492 1865 2984 3730 7460 9161 14920 18322 36644 45805 73288 91610 183220 366440 3417053 6834106 13668212 17085265 27336424 34170530 68341060 136682120