Search a number
-
+
135967050 = 23252467647
BaseRepresentation
bin10000001101010…
…11000101001010
3100110211211201200
420012223011022
5234301421200
621254125030
73240462252
oct1006530512
9313754650
10135967050
116a82806a
1239650776
132222779b
14140b4962
15be0b800
hex81ab14a

135967050 has 72 divisors (see below), whose sum is σ = 366646176. Its totient is φ = 36124320.

The previous prime is 135967049. The next prime is 135967063. The reversal of 135967050 is 50769531.

It is a happy number.

135967050 is a `hidden beast` number, since 13 + 596 + 7 + 0 + 50 = 666.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 135966996 and 135967014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209827 + ... + 210473.

It is an arithmetic number, because the mean of its divisors is an integer number (5092308).

Almost surely, 2135967050 is an apocalyptic number.

135967050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135967050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183323088).

135967050 is an abundant number, since it is smaller than the sum of its proper divisors (230679126).

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

135967050 is a wasteful number, since it uses less digits than its factorization.

135967050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135967050 is about 11660.4909845169. The cubic root of 135967050 is about 514.2147835377.

The spelling of 135967050 in words is "one hundred thirty-five million, nine hundred sixty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 467 647 934 1294 1401 1941 2335 2802 3235 3882 4203 4670 5823 6470 7005 8406 9705 11646 11675 14010 16175 19410 21015 23350 29115 32350 35025 42030 48525 58230 70050 97050 105075 145575 210150 291150 302149 604298 906447 1510745 1812894 2719341 3021490 4532235 5438682 7553725 9064470 13596705 15107450 22661175 27193410 45322350 67983525 135967050