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136836036 = 223229532473
BaseRepresentation
bin10000010011111…
…11001111000100
3100112110222202100
420021333033010
5240012223121
621324512100
73251041611
oct1011771704
9315428670
10136836036
1170270a37
12399ab630
132247018c
141425d508
15c02e026
hex827f3c4

136836036 has 72 divisors (see below), whose sum is σ = 364717080. Its totient is φ = 43190784.

The previous prime is 136836031. The next prime is 136836047. The reversal of 136836036 is 630638631.

136836036 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 87048900 = 7056^2 + 9330^2 .

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

136836036 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (136836031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54096 + ... + 56568.

It is an arithmetic number, because the mean of its divisors is an integer number (5065515).

Almost surely, 2136836036 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 136836036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182358540).

136836036 is an abundant number, since it is smaller than the sum of its proper divisors (227881044).

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

136836036 is a wasteful number, since it uses less digits than its factorization.

136836036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136836036 is about 11697.6936188293. The cubic root of 136836036 is about 515.3079328492.

The spelling of 136836036 in words is "one hundred thirty-six million, eight hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 1044 1537 1908 2473 3074 4611 4946 6148 7419 9222 9892 13833 14838 18444 22257 27666 29676 44514 55332 71717 89028 131069 143434 215151 262138 286868 393207 430302 524276 645453 786414 860604 1179621 1290906 1572828 2359242 2581812 3801001 4718484 7602002 11403003 15204004 22806006 34209009 45612012 68418018 136836036