Search a number
-
+
36125514 = 2341731289
BaseRepresentation
bin1000100111001…
…1101101001010
32111222100220000
42021303231022
533222004024
63330143430
7616030125
oct211635512
974870800
1036125514
11194346a7
1210121b76
13763b159
144b253bc
153288cc9
hex2273b4a

36125514 has 40 divisors (see below), whose sum is σ = 81478980. Its totient is φ = 11962944.

The previous prime is 36125513. The next prime is 36125519. The reversal of 36125514 is 41552163.

36125514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30437289 + 5688225 = 5517^2 + 2385^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36125513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27382 + ... + 28670.

Almost surely, 236125514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36125514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40739490).

36125514 is an abundant number, since it is smaller than the sum of its proper divisors (45353466).

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

36125514 is a wasteful number, since it uses less digits than its factorization.

36125514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1467 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 36125514 is about 6010.4503990966. The cubic root of 36125514 is about 330.5760187611.

Adding to 36125514 its reverse (41552163), we get a palindrome (77677677).

The spelling of 36125514 in words is "thirty-six million, one hundred twenty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 1038 1289 1557 2578 3114 3867 4671 7734 9342 11601 14013 23202 28026 34803 69606 104409 208818 222997 445994 668991 1337982 2006973 4013946 6020919 12041838 18062757 36125514