Search a number
-
+
135207312 = 2432816819
BaseRepresentation
bin10000000111100…
…01100110010000
3100102102020120020
420003301212100
5234103113222
621225543440
73231146262
oct1003614620
9312366506
10135207312
116a359289
1239344b80
132201ca36
1413d57b32
15bd0b65c
hex80f1990

135207312 has 20 divisors (see below), whose sum is σ = 349285680. Its totient is φ = 45069088.

The previous prime is 135207311. The next prime is 135207313. The reversal of 135207312 is 213702531.

It is an interprime number because it is at equal distance from previous prime (135207311) and next prime (135207313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135207311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408362 + ... + 1408457.

It is an arithmetic number, because the mean of its divisors is an integer number (17464284).

Almost surely, 2135207312 is an apocalyptic number.

135207312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135207312 is an abundant number, since it is smaller than the sum of its proper divisors (214078368).

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

135207312 is a wasteful number, since it uses less digits than its factorization.

135207312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816830 (or 2816824 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135207312 is about 11627.8679043064. The cubic root of 135207312 is about 513.2552412081.

Adding to 135207312 its reverse (213702531), we get a palindrome (348909843).

The spelling of 135207312 in words is "one hundred thirty-five million, two hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2816819 5633638 8450457 11267276 16900914 22534552 33801828 45069104 67603656 135207312