[go: up one dir, main page]

Search a number
-
+
134301120 = 26351937199
BaseRepresentation
bin10000000000101…
…00010111000000
3100100201012111120
420000110113000
5233340113440
621154312240
73220353312
oct1000242700
9310635446
10134301120
116989a468
1238b88680
1321a93425
1413b9d7b2
15bbccdd0
hex80145c0

134301120 has 224 divisors, whose sum is σ = 463296000. Its totient is φ = 32845824.

The previous prime is 134301113. The next prime is 134301121. The reversal of 134301120 is 21103431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134301121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 674781 + ... + 674979.

Almost surely, 2134301120 is an apocalyptic number.

134301120 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 134301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648000).

134301120 is an abundant number, since it is smaller than the sum of its proper divisors (328994880).

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

134301120 is a wasteful number, since it uses less digits than its factorization.

134301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 134301120 is about 11588.8360071234. The cubic root of 134301120 is about 512.1060164578.

Adding to 134301120 its reverse (21103431), we get a palindrome (155404551).

It can be divided in two parts, 134301 and 120, that added together give a triangular number (134421 = T518).

The spelling of 134301120 in words is "one hundred thirty-four million, three hundred one thousand, one hundred twenty".