Search a number
-
+
134386560 = 27335711101
BaseRepresentation
bin10000000001010…
…01001110000000
3100100212112201000
420000221032000
5233400332220
621200212000
73221160360
oct1000511600
9310775630
10134386560
1169948680
123900a000
1321ac3299
1413bc29a0
15bbe8390
hex8029380

134386560 has 512 divisors, whose sum is σ = 599270400. Its totient is φ = 27648000.

The previous prime is 134386453. The next prime is 134386591. The reversal of 134386560 is 65683431.

134386560 is a `hidden beast` number, since 13 + 4 + 3 + 86 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330510 + ... + 1330610.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2134386560 is an apocalyptic number.

134386560 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 134386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299635200).

134386560 is an abundant number, since it is smaller than the sum of its proper divisors (464883840).

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

134386560 is a wasteful number, since it uses less digits than its factorization.

134386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 134386560 is about 11592.5217273896. The cubic root of 134386560 is about 512.2145910370.

The spelling of 134386560 in words is "one hundred thirty-four million, three hundred eighty-six thousand, five hundred sixty".