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136059840 = 26325717397
BaseRepresentation
bin10000001110000…
…01101111000000
3100111000120000100
420013001233000
5234312403330
621300122400
73241326630
oct1007015700
9314016010
10136059840
116a890854
1239696400
132225aaa7
14140da6c0
15be29060
hex81c1bc0

136059840 has 336 divisors, whose sum is σ = 567732672. Its totient is φ = 29196288.

The previous prime is 136059839. The next prime is 136059871. The reversal of 136059840 is 48950631.

136059840 is a `hidden beast` number, since 1 + 3 + 60 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1360598403 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 136059795 and 136059804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342522 + ... + 342918.

Almost surely, 2136059840 is an apocalyptic number.

136059840 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 136059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283866336).

136059840 is an abundant number, since it is smaller than the sum of its proper divisors (431672832).

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

136059840 is a wasteful number, since it uses less digits than its factorization.

136059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136059840 is about 11664.4691263683. The cubic root of 136059840 is about 514.3317313321.

The spelling of 136059840 in words is "one hundred thirty-six million, fifty-nine thousand, eight hundred forty".