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136386240 = 26351761137
BaseRepresentation
bin10000010000100…
…01011011000000
3100111122010202020
420020101123000
5234403324430
621311121440
73244156344
oct1010213300
9314563666
10136386240
116aa94001
1239813280
1322343523
1414183624
15be90b10
hex82116c0

136386240 has 224 divisors, whose sum is σ = 469416384. Its totient is φ = 33423360.

The previous prime is 136386209. The next prime is 136386247. The reversal of 136386240 is 42683631.

It is a super-2 number, since 2×1363862402 = 37202412922675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136386247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995452 + ... + 995588.

Almost surely, 2136386240 is an apocalyptic number.

136386240 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 136386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234708192).

136386240 is an abundant number, since it is smaller than the sum of its proper divisors (333030144).

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

136386240 is a wasteful number, since it uses less digits than its factorization.

136386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 136386240 is about 11678.4519522067. The cubic root of 136386240 is about 514.7426873068.

The spelling of 136386240 in words is "one hundred thirty-six million, three hundred eighty-six thousand, two hundred forty".