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136029240 = 233351731239
BaseRepresentation
bin10000001101110…
…10010000111000
3100110222000001000
420012322100320
5234310413430
621255325000
73241141464
oct1006722070
9313860030
10136029240
116a86a866
1239680760
1322249b99
14140cd4a4
15be1ee60
hex81ba438

136029240 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 32901120.

The previous prime is 136029239. The next prime is 136029241. The reversal of 136029240 is 42920631.

136029240 is a `hidden beast` number, since 13 + 602 + 9 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (136029239) and next prime (136029241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136029241) 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 63 ways as a sum of consecutive naturals, for example, 569041 + ... + 569279.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2136029240 is an apocalyptic number.

136029240 is a gapful number since it is divisible by the number (10) 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 136029240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

136029240 is an abundant number, since it is smaller than the sum of its proper divisors (361634760).

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

136029240 is a wasteful number, since it uses less digits than its factorization.

136029240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136029240 is about 11663.1573769713. The cubic root of 136029240 is about 514.2931705268.

Adding to 136029240 its reverse (42920631), we get a palindrome (178949871).

The spelling of 136029240 in words is "one hundred thirty-six million, twenty-nine thousand, two hundred forty".