Search a number
-
+
135040932 = 22351310687
BaseRepresentation
bin10000000110010…
…00111110100100
3100102002210100000
420003020332210
5234032302212
621222221300
73226554225
oct1003107644
9312083300
10135040932
116a255284
1239284830
1321c920a0
1413d1324c
15bcc71dc
hex80c8fa4

135040932 has 72 divisors (see below), whose sum is σ = 381262336. Its totient is φ = 41547168.

The previous prime is 135040909. The next prime is 135040933. The reversal of 135040932 is 239040531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135040896 and 135040905.

It is not an unprimeable number, because it can be changed into a prime (135040933) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7293 + ... + 17979.

Almost surely, 2135040932 is an apocalyptic number.

135040932 is a gapful number since it is divisible by the number (12) 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 135040932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190631168).

135040932 is an abundant number, since it is smaller than the sum of its proper divisors (246221404).

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

135040932 is a wasteful number, since it uses less digits than its factorization.

135040932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135040932 is about 11620.7113379517. The cubic root of 135040932 is about 513.0446252346.

The spelling of 135040932 in words is "one hundred thirty-five million, forty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 10687 12636 21374 32061 42748 64122 96183 128244 138931 192366 277862 288549 384732 416793 555724 577098 833586 865647 1154196 1250379 1667172 1731294 2500758 2596941 3462588 3751137 5001516 5193882 7502274 10387764 11253411 15004548 22506822 33760233 45013644 67520466 135040932