Search a number
-
+
134110080 = 2734513199
BaseRepresentation
bin1111111111001…
…01101110000000
3100100100111110000
413333211232000
5233313010310
621150240000
73215626326
oct777455600
9310314400
10134110080
1169779985
1238ab6000
1321a274a0
1413b4dd16
15bb914c0
hex7fe5b80

134110080 has 320 divisors, whose sum is σ = 518364000. Its totient is φ = 32845824.

The previous prime is 134110073. The next prime is 134110091. The reversal of 134110080 is 80011431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673821 + ... + 674019.

Almost surely, 2134110080 is an apocalyptic number.

134110080 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 134110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259182000).

134110080 is an abundant number, since it is smaller than the sum of its proper divisors (384253920).

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

134110080 is a wasteful number, since it uses less digits than its factorization.

134110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 134110080 is about 11580.5906585113. The cubic root of 134110080 is about 511.8630818784.

The spelling of 134110080 in words is "one hundred thirty-four million, one hundred ten thousand, eighty".