Search a number
-
+
136090080 = 25325723587
BaseRepresentation
bin10000001110010…
…01000111100000
3100111002002111100
420013021013200
5234314340310
621300514400
73241514040
oct1007110740
9314062440
10136090080
116a901545
12396aba00
132226b799
1414107720
15be32ec0
hex81c91e0

136090080 has 288 divisors, whose sum is σ = 554770944. Its totient is φ = 29703168.

The previous prime is 136090067. The next prime is 136090153. The reversal of 136090080 is 80090631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231547 + ... + 232133.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2136090080 is an apocalyptic number.

136090080 is a gapful number since it is divisible by the number (10) 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 136090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

136090080 is an abundant number, since it is smaller than the sum of its proper divisors (418680864).

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

136090080 is a wasteful number, since it uses less digits than its factorization.

136090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

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

The square root of 136090080 is about 11665.7652985134. The cubic root of 136090080 is about 514.3698328014.

The spelling of 136090080 in words is "one hundred thirty-six million, ninety thousand, eighty".