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13134312 = 233420269
BaseRepresentation
bin110010000110…
…100111101000
3220201021220000
4302012213220
511330244222
61145303000
7216432312
oct62064750
926637800
1013134312
117461004
124494a60
13294b3a9
141a5c7b2
1512469ac
hexc869e8

13134312 has 40 divisors (see below), whose sum is σ = 36790050. Its totient is φ = 4377888.

The previous prime is 13134299. The next prime is 13134367. The reversal of 13134312 is 21343131.

It can be written as a sum of positive squares in only one way, i.e., 9696996 + 3437316 = 3114^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 15.

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 9 ways as a sum of consecutive naturals, for example, 9487 + ... + 10782.

Almost surely, 213134312 is an apocalyptic number.

13134312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13134312 is an abundant number, since it is smaller than the sum of its proper divisors (23655738).

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

13134312 is a wasteful number, since it uses less digits than its factorization.

13134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20287 (or 20274 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13134312 is about 3624.1291367720. The cubic root of 13134312 is about 235.9404714361.

Adding to 13134312 its reverse (21343131), we get a palindrome (34477443).

It can be divided in two parts, 1313 and 4312, that added together give a square (5625 = 752).

The spelling of 13134312 in words is "thirteen million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20269 40538 60807 81076 121614 162152 182421 243228 364842 486456 547263 729684 1094526 1459368 1641789 2189052 3283578 4378104 6567156 13134312