Search a number
-
+
136009008 = 24323113037
BaseRepresentation
bin10000001101101…
…01010100110000
3100110220222021200
420012311110300
5234304242013
621255051200
73241025502
oct1006652460
9313828250
10136009008
116a856643
1239670b00
1322240905
14140c5d72
15be18e73
hex81b5530

136009008 has 60 divisors (see below), whose sum is σ = 381985968. Its totient is φ = 45175680.

The previous prime is 136008991. The next prime is 136009019. The reversal of 136009008 is 800900631.

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 11 ways as a sum of consecutive naturals, for example, 43266 + ... + 46302.

Almost surely, 2136009008 is an apocalyptic number.

136009008 is a gapful number since it is divisible by the number (18) 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 136009008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190992984).

136009008 is an abundant number, since it is smaller than the sum of its proper divisors (245976960).

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

136009008 is a wasteful number, since it uses less digits than its factorization.

136009008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 136009008 is about 11662.2899981093. The cubic root of 136009008 is about 514.2676718538.

Adding to 136009008 its reverse (800900631), we get a palindrome (936909639).

The spelling of 136009008 in words is "one hundred thirty-six million, nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 3037 3732 4976 5598 6074 7464 9111 11196 12148 14928 18222 22392 24296 27333 36444 44784 48592 54666 72888 109332 145776 218664 437328 944507 1889014 2833521 3778028 5667042 7556056 8500563 11334084 15112112 17001126 22668168 34002252 45336336 68004504 136009008