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136296216 = 23337109827
BaseRepresentation
bin10000001111110…
…11011100011000
3100111110120021000
420013323130120
5234342434331
621305145000
73243333030
oct1007733430
9314416230
10136296216
116aa32401
123978b160
1322311564
141415c8c0
15be740e6
hex81fb718

136296216 has 128 divisors (see below), whose sum is σ = 437184000. Its totient is φ = 38537856.

The previous prime is 136296211. The next prime is 136296233. The reversal of 136296216 is 612692631.

It is a happy number.

136296216 is a `hidden beast` number, since 1 + 3 + 6 + 29 + 621 + 6 = 666.

136296216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136296211) 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, 164395 + ... + 165221.

It is an arithmetic number, because the mean of its divisors is an integer number (3415500).

Almost surely, 2136296216 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 136296216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592000).

136296216 is an abundant number, since it is smaller than the sum of its proper divisors (300887784).

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

136296216 is a wasteful number, since it uses less digits than its factorization.

136296216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 136296216 is about 11674.5970380138. The cubic root of 136296216 is about 514.6294075628.

The spelling of 136296216 in words is "one hundred thirty-six million, two hundred ninety-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 216 218 252 327 378 436 504 654 756 763 827 872 981 1308 1512 1526 1654 1962 2289 2481 2616 2943 3052 3308 3924 4578 4962 5789 5886 6104 6616 6867 7443 7848 9156 9924 11578 11772 13734 14886 17367 18312 19848 20601 22329 23156 23544 27468 29772 34734 41202 44658 46312 52101 54936 59544 69468 82404 89316 90143 104202 138936 156303 164808 178632 180286 208404 270429 312606 360572 416808 540858 625212 631001 721144 811287 1081716 1250424 1262002 1622574 1893003 2163432 2433861 2524004 3245148 3786006 4867722 5048008 5679009 6490296 7572012 9735444 11358018 15144024 17037027 19470888 22716036 34074054 45432072 68148108 136296216