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136423440 = 2434537569
BaseRepresentation
bin10000010000110…
…10100000010000
3100111201000210000
420020122200100
5234411022230
621312010000
73244402656
oct1010324020
9314630700
10136423440
1170009a4a
1239830900
132235743a
1414192dd6
15be9bb60
hex821a810

136423440 has 200 divisors, whose sum is σ = 487479960. Its totient is φ = 35334144.

The previous prime is 136423433. The next prime is 136423471. The reversal of 136423440 is 44324631.

136423440 is a `hidden beast` number, since 13 + 642 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 118984464 = 4176^2 + 10908^2 .

It is a super-2 number, since 2×1364234402 = 37222709962867200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239476 + ... + 240044.

Almost surely, 2136423440 is an apocalyptic number.

136423440 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 136423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243739980).

136423440 is an abundant number, since it is smaller than the sum of its proper divisors (351056520).

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

136423440 is a wasteful number, since it uses less digits than its factorization.

136423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 136423440 is about 11680.0445204631. The cubic root of 136423440 is about 514.7894825634.

The spelling of 136423440 in words is "one hundred thirty-six million, four hundred twenty-three thousand, four hundred forty".