Search a number
-
+
134076096 = 26327113023
BaseRepresentation
bin1111111110111…
…01011011000000
3100100021202211100
413333131123000
5233310413341
621145414400
73215425260
oct777353300
9310252740
10134076096
11697563a0
1238a9a400
1321a14b8b
1413b417a0
15bb863b6
hex7fdd6c0

134076096 has 168 divisors, whose sum is σ = 479291904. Its totient is φ = 34813440.

The previous prime is 134076091. The next prime is 134076113. The reversal of 134076096 is 690670431.

134076096 is a `hidden beast` number, since 1 + 3 + 40 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134076096.

It is not an unprimeable number, because it can be changed into a prime (134076091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42841 + ... + 45863.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2134076096 is an apocalyptic number.

134076096 is a gapful number since it is divisible by the number (16) 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 134076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

134076096 is an abundant number, since it is smaller than the sum of its proper divisors (345215808).

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

134076096 is a wasteful number, since it uses less digits than its factorization.

134076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 134076096 is about 11579.1232828742. The cubic root of 134076096 is about 511.8198422142.

It can be divided in two parts, 13407 and 6096, that added together give a triangular number (19503 = T197).

The spelling of 134076096 in words is "one hundred thirty-four million, seventy-six thousand, ninety-six".