Search a number
-
+
136203264 = 2103214779
BaseRepresentation
bin10000001111001…
…00110000000000
3100111021211202100
420013210300000
5234332001024
621303150400
73242465031
oct1007446000
9314254670
10136203264
116a97958a
1239745400
13222ab162
1414136a88
15be567c9
hex81e4c00

136203264 has 66 divisors (see below), whose sum is σ = 393310580. Its totient is φ = 45398016.

The previous prime is 136203173. The next prime is 136203281. The reversal of 136203264 is 462302631.

136203264 is a `hidden beast` number, since 1 + 3 + 620 + 32 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1827 + ... + 16605.

Almost surely, 2136203264 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 136203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196655290).

136203264 is an abundant number, since it is smaller than the sum of its proper divisors (257107316).

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

136203264 is a wasteful number, since it uses less digits than its factorization.

136203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136203264 is about 11670.6154079380. The cubic root of 136203264 is about 514.5123910804.

Adding to 136203264 its reverse (462302631), we get a palindrome (598505895).

The spelling of 136203264 in words is "one hundred thirty-six million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14779 29558 44337 59116 88674 118232 133011 177348 236464 266022 354696 472928 532044 709392 945856 1064088 1418784 1891712 2128176 2837568 3783424 4256352 5675136 7566848 8512704 11350272 15133696 17025408 22700544 34050816 45401088 68101632 136203264