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136069632 = 293417193
BaseRepresentation
bin10000001110001…
…00001000000000
3100111001001110000
420013010020000
5234313212012
621300240000
73241400316
oct1007041000
9314031400
10136069632
116a898146
12396a0000
132226239a
14141000b6
15be2bddc
hex81c4200

136069632 has 200 divisors, whose sum is σ = 432250236. Its totient is φ = 42467328.

The previous prime is 136069627. The next prime is 136069643. The reversal of 136069632 is 236960631.

136069632 is a `hidden beast` number, since 13 + 6 + 0 + 6 + 9 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136048896 + 20736 = 11664^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704928 + ... + 705120.

Almost surely, 2136069632 is an apocalyptic number.

136069632 is a gapful number since it is divisible by the number (12) 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 136069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216125118).

136069632 is an abundant number, since it is smaller than the sum of its proper divisors (296180604).

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

136069632 is an equidigital number, since it uses as much as digits as its factorization.

136069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 136069632 is about 11664.8888550213. Note that the first 4 decimals coincide. The cubic root of 136069632 is about 514.3440695687.

The spelling of 136069632 in words is "one hundred thirty-six million, sixty-nine thousand, six hundred thirty-two".