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133644004 = 22131728893
BaseRepresentation
bin1111111011100…
…11111011100100
3100022110211002221
413331303323210
5233203102004
621132242124
73211645444
oct775637344
9308424087
10133644004
116949079a
1238910344
13218c32c0
1413a6c124
15baed354
hex7f73ee4

133644004 has 36 divisors (see below), whose sum is σ = 267584884. Its totient is φ = 58046976.

The previous prime is 133643971. The next prime is 133644011. The reversal of 133644004 is 400446331.

It is a happy number.

133644004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1440000 + 132204004 = 1200^2 + 11498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133644004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10582 + ... + 19474.

Almost surely, 2133644004 is an apocalyptic number.

It is an amenable number.

133644004 is an abundant number, since it is smaller than the sum of its proper divisors (133940880).

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

133644004 is a wasteful number, since it uses less digits than its factorization.

133644004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 133644004 is about 11560.4499912417. The cubic root of 133644004 is about 511.2694302589.

The spelling of 133644004 in words is "one hundred thirty-three million, six hundred forty-four thousand, four".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 7514 8893 15028 17786 35572 115609 151181 231218 302362 462436 604724 1965353 2570077 3930706 5140154 7861412 10280308 33411001 66822002 133644004