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136887723 = 32721719312
BaseRepresentation
bin10000010100010…
…11110110101011
3100112120121122200
420022023312223
5240020401343
621325551243
73251345400
oct1012136653
9315517580
10136887723
11702a6855
1239a15523
132248a86b
14142742a7
15c03e4d3
hex828bdab

136887723 has 108 divisors (see below), whose sum is σ = 264892680. Its totient is φ = 67495680.

The previous prime is 136887713. The next prime is 136887769. The reversal of 136887723 is 327788631.

136887723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 136887723 - 26 = 136887659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136887713) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4415718 + ... + 4415748.

It is an arithmetic number, because the mean of its divisors is an integer number (2452710).

Almost surely, 2136887723 is an apocalyptic number.

136887723 is a deficient number, since it is larger than the sum of its proper divisors (128004957).

136887723 is a wasteful number, since it uses less digits than its factorization.

136887723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 136887723 is about 11699.9026919030. The cubic root of 136887723 is about 515.3728070082.

It can be divided in two parts, 1368877 and 23, that added together give a square (1368900 = 11702).

The spelling of 136887723 in words is "one hundred thirty-six million, eight hundred eighty-seven thousand, seven hundred twenty-three".

Divisors: 1 3 7 9 17 19 21 31 49 51 57 63 93 119 133 147 153 171 217 279 323 357 399 441 527 589 651 833 931 961 969 1071 1197 1519 1581 1767 1953 2261 2499 2793 2883 2907 3689 4123 4557 4743 5301 6727 6783 7497 8379 8649 10013 11067 12369 13671 15827 16337 18259 20181 20349 25823 28861 30039 33201 37107 47089 47481 49011 54777 60543 70091 77469 86583 90117 114359 127813 141267 142443 147033 164331 210273 232407 259749 310403 343077 383439 423801 490637 630819 800513 894691 931209 1029231 1150317 1471911 2172821 2401539 2684073 2793627 4415733 6518463 7204617 8052219 15209747 19555389 45629241 136887723