Search a number
-
+
126605133 = 3323203873
BaseRepresentation
bin1111000101111…
…01011101001101
322211020012121000
413202331131031
5224402331013
620321330513
73065061114
oct742753515
9284205530
10126605133
1165513346
1236496a39
13202ca4a5
1412b58c7b
15b1ac973
hex78bd74d

126605133 has 16 divisors (see below), whose sum is σ = 195719040. Its totient is φ = 80733312.

The previous prime is 126605123. The next prime is 126605159. The reversal of 126605133 is 331506621.

126605133 is a `hidden beast` number, since 1 + 26 + 605 + 1 + 33 = 666.

It is not a de Polignac number, because 126605133 - 24 = 126605117 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 126605097 and 126605106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126605123) 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 15 ways as a sum of consecutive naturals, for example, 101316 + ... + 102557.

It is an arithmetic number, because the mean of its divisors is an integer number (12232440).

Almost surely, 2126605133 is an apocalyptic number.

It is an amenable number.

126605133 is a deficient number, since it is larger than the sum of its proper divisors (69113907).

126605133 is a wasteful number, since it uses less digits than its factorization.

126605133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203905 (or 203899 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 126605133 is about 11251.8946404594. The cubic root of 126605133 is about 502.1310814129.

The spelling of 126605133 in words is "one hundred twenty-six million, six hundred five thousand, one hundred thirty-three".

Divisors: 1 3 9 23 27 69 207 621 203873 611619 1834857 4689079 5504571 14067237 42201711 126605133