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126540333 = 3317377451
BaseRepresentation
bin1111000101011…
…01101000101101
322211002220201000
413202231220231
5224343242313
620320110513
73064401153
oct742555055
9284086630
10126540333
1165479697
1236465439
13202a6b4a
1412b3d3d3
15b198673
hex78ada2d

126540333 has 32 divisors (see below), whose sum is σ = 203886720. Its totient is φ = 77241600.

The previous prime is 126540329. The next prime is 126540343. The reversal of 126540333 is 333045621.

It is a happy number.

126540333 is a `hidden beast` number, since 1 + 2 + 654 + 0 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 126540333 - 22 = 126540329 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 = 126540297 and 126540306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126540343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13258 + ... + 20708.

It is an arithmetic number, because the mean of its divisors is an integer number (6371460).

Almost surely, 2126540333 is an apocalyptic number.

It is an amenable number.

126540333 is a deficient number, since it is larger than the sum of its proper divisors (77346387).

126540333 is a wasteful number, since it uses less digits than its factorization.

126540333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 126540333 is about 11249.0147568576. The cubic root of 126540333 is about 502.0453986127.

Adding to 126540333 its reverse (333045621), we get a palindrome (459585954).

The spelling of 126540333 in words is "one hundred twenty-six million, five hundred forty thousand, three hundred thirty-three".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 5661 7451 16983 22353 67059 126667 201177 275687 380001 827061 1140003 2481183 3420009 4686679 7443549 14060037 42180111 126540333