Search a number
-
+
135381030 = 23517318563
BaseRepresentation
bin10000001000111…
…00000000100110
3100102202001212020
420010130000212
5234124143110
621233404010
73232501611
oct1004340046
9312661766
10135381030
116a467854
1239409606
1322080b25
1413da1178
15bd42d70
hex811c026

135381030 has 64 divisors (see below), whose sum is σ = 355166208. Its totient is φ = 32878080.

The previous prime is 135380989. The next prime is 135381049. The reversal of 135381030 is 30183531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11529 + ... + 20091.

It is an arithmetic number, because the mean of its divisors is an integer number (5549472).

Almost surely, 2135381030 is an apocalyptic number.

135381030 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 135381030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177583104).

135381030 is an abundant number, since it is smaller than the sum of its proper divisors (219785178).

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

135381030 is a wasteful number, since it uses less digits than its factorization.

135381030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 135381030 is about 11635.3354055652. The cubic root of 135381030 is about 513.4749618581.

The spelling of 135381030 in words is "one hundred thirty-five million, three hundred eighty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 8563 15810 17126 25689 42815 51378 85630 128445 145571 256890 265453 291142 436713 530906 727855 796359 873426 1327265 1455710 1592718 2183565 2654530 3981795 4367130 4512701 7963590 9025402 13538103 22563505 27076206 45127010 67690515 135381030