Search a number
-
+
136083888 = 24373889
BaseRepresentation
bin10000001110001…
…11100110110000
3100111001210000000
420013013212300
5234314141023
621300430000
73241460013
oct1007074660
9314053000
10136083888
116a8a7926
12396a8300
1322268a15
141410537a
15be31243
hex81c79b0

136083888 has 80 divisors (see below), whose sum is σ = 395535200. Its totient is φ = 45349632.

The previous prime is 136083869. The next prime is 136083889. The reversal of 136083888 is 888380631.

136083888 is a `hidden beast` number, since 1 + 3 + 608 + 38 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (136083889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33048 + ... + 36936.

It is an arithmetic number, because the mean of its divisors is an integer number (4944190).

Almost surely, 2136083888 is an apocalyptic number.

136083888 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 136083888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197767600).

136083888 is an abundant number, since it is smaller than the sum of its proper divisors (259451312).

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

136083888 is an frugal number, since it uses more digits than its factorization.

136083888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 136083888 is about 11665.4999035618. The cubic root of 136083888 is about 514.3620315315.

The spelling of 136083888 in words is "one hundred thirty-six million, eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 3889 4374 5832 7778 8748 11664 11667 15556 17496 23334 31112 34992 35001 46668 62224 70002 93336 105003 140004 186672 210006 280008 315009 420012 560016 630018 840024 945027 1260036 1680048 1890054 2520072 2835081 3780108 5040144 5670162 7560216 8505243 11340324 15120432 17010486 22680648 34020972 45361296 68041944 136083888