Search a number
-
+
133536006 = 2336313919
BaseRepresentation
bin1111111010110…
…01100100000110
3100022021022222000
413331121210012
5233141123011
621130050130
73211015542
oct775314406
9308238860
10133536006
116941763a
1238879946
13218860b6
1413a40a22
15bacb356
hex7f59906

133536006 has 32 divisors (see below), whose sum is σ = 297292800. Its totient is φ = 44430120.

The previous prime is 133536001. The next prime is 133536031. The reversal of 133536006 is 600635331.

133536006 is a `hidden beast` number, since 1 + 3 + 3 + 53 + 600 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133536001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32115 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (9290400).

Almost surely, 2133536006 is an apocalyptic number.

133536006 is an abundant number, since it is smaller than the sum of its proper divisors (163756794).

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

133536006 is a wasteful number, since it uses less digits than its factorization.

133536006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 133536006 is about 11555.7780352515. The cubic root of 133536006 is about 511.1316738454.

The spelling of 133536006 in words is "one hundred thirty-three million, five hundred thirty-six thousand, six".

Divisors: 1 2 3 6 9 18 27 54 631 1262 1893 3786 3919 5679 7838 11358 11757 17037 23514 34074 35271 70542 105813 211626 2472889 4945778 7418667 14837334 22256001 44512002 66768003 133536006