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136042592 = 2574114813
BaseRepresentation
bin10000001101111…
…01100001100000
3100110222200100112
420012331201200
5234311330332
621255510452
73241225430
oct1006754140
9313880315
10136042592
116a8798a4
1239688428
1322252c9a
14140d42c0
15be23db2
hex81bd860

136042592 has 48 divisors (see below), whose sum is σ = 313582752. Its totient is φ = 56878080.

The previous prime is 136042579. The next prime is 136042609. The reversal of 136042592 is 295240631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1778 + ... + 16590.

It is an arithmetic number, because the mean of its divisors is an integer number (6532974).

Almost surely, 2136042592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136042592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156791376).

136042592 is an abundant number, since it is smaller than the sum of its proper divisors (177540160).

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

136042592 is a wasteful number, since it uses less digits than its factorization.

136042592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 136042592 is about 11663.7297636734. The cubic root of 136042592 is about 514.3099968546.

The spelling of 136042592 in words is "one hundred thirty-six million, forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 14813 29626 59252 103691 118504 207382 237008 414764 474016 607333 829528 1214666 1659056 2429332 3318112 4251331 4858664 8502662 9717328 17005324 19434656 34010648 68021296 136042592