Search a number
-
+
135520540 = 22519715023
BaseRepresentation
bin10000001001111…
…10000100011100
3100110000011020021
420010332010130
5234143124130
621240401524
73233622421
oct1004760434
9313004207
10135520540
116a552651
12394762a4
13220cc48c
1413dd9d48
15bd6e37a
hex813e11c

135520540 has 48 divisors (see below), whose sum is σ = 303851520. Its totient is φ = 50621760.

The previous prime is 135520519. The next prime is 135520571. The reversal of 135520540 is 45025531.

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, 24469 + ... + 29491.

It is an arithmetic number, because the mean of its divisors is an integer number (6330240).

Almost surely, 2135520540 is an apocalyptic number.

135520540 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 135520540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151925760).

135520540 is an abundant number, since it is smaller than the sum of its proper divisors (168330980).

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

135520540 is a wasteful number, since it uses less digits than its factorization.

135520540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 135520540 is about 11641.3289619356. The cubic root of 135520540 is about 513.6512797648.

The spelling of 135520540 in words is "one hundred thirty-five million, five hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2698 5023 5396 6745 10046 13490 20092 25115 26980 50230 95437 100460 190874 356633 381748 477185 713266 954370 1426532 1783165 1908740 3566330 6776027 7132660 13552054 27104108 33880135 67760270 135520540