Search a number
-
+
270707540 = 225373591019
BaseRepresentation
bin10000001000101…
…010101101010100
3200212101100221012
4100020222231110
51023300120130
642510111352
76464655545
oct2010525524
9625340835
10270707540
11129897644
12767ab558
1344112b9c
1427d4a4cc
1518b74995
hex1022ab54

270707540 has 48 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 104959872.

The previous prime is 270707527. The next prime is 270707561. The reversal of 270707540 is 45707072.

It is a happy number.

270707540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 270707497 and 270707506.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 265151 + ... + 266169.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2270707540 is an apocalyptic number.

270707540 is a gapful number since it is divisible by the number (20) 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 270707540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

270707540 is an abundant number, since it is smaller than the sum of its proper divisors (315343660).

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

270707540 is a wasteful number, since it uses less digits than its factorization.

270707540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 270707540 is about 16453.1923953985. The cubic root of 270707540 is about 646.8944881680.

The spelling of 270707540 in words is "two hundred seventy million, seven hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 359 370 718 740 1019 1436 1795 2038 3590 4076 5095 7180 10190 13283 20380 26566 37703 53132 66415 75406 132830 150812 188515 265660 365821 377030 731642 754060 1463284 1829105 3658210 7316420 13535377 27070754 54141508 67676885 135353770 270707540