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133013268 = 22323694813
BaseRepresentation
bin1111110110110…
…01111100010100
3100021021202220100
413323121330110
5233022411033
621110534100
73203410533
oct773317424
9307252810
10133013268
116909a923
1238667330
132173219b
141394631a
15ba26513
hex7ed9f14

133013268 has 18 divisors (see below), whose sum is σ = 336228074. Its totient is φ = 44337744.

The previous prime is 133013267. The next prime is 133013311. The reversal of 133013268 is 862310331.

It is a happy number.

133013268 is a `hidden beast` number, since 1 + 330 + 1 + 326 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132987024 + 26244 = 11532^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1847371 + ... + 1847442.

Almost surely, 2133013268 is an apocalyptic number.

133013268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133013268 is an abundant number, since it is smaller than the sum of its proper divisors (203214806).

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

133013268 is a wasteful number, since it uses less digits than its factorization.

133013268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694823 (or 3694818 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133013268 is about 11533.1378210789. The cubic root of 133013268 is about 510.4638455934.

Adding to 133013268 its reverse (862310331), we get a palindrome (995323599).

The spelling of 133013268 in words is "one hundred thirty-three million, thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3694813 7389626 11084439 14779252 22168878 33253317 44337756 66506634 133013268