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27405135 = 345157431
BaseRepresentation
bin110100010001…
…0101101001111
31220120022210000
41220202231033
524003431020
62415215343
7451640232
oct150425517
956508700
1027405135
111451897a
129217553
1358a6b74
1438d5419
152615090
hex1a22b4f

27405135 has 40 divisors (see below), whose sum is σ = 49553856. Its totient is φ = 14489280.

The previous prime is 27405127. The next prime is 27405137. The reversal of 27405135 is 53150472.

It is a happy number.

It is not a de Polignac number, because 27405135 - 23 = 27405127 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 = 27405099 and 27405108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27405137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63370 + ... + 63800.

Almost surely, 227405135 is an apocalyptic number.

27405135 is a deficient number, since it is larger than the sum of its proper divisors (22148721).

27405135 is a wasteful number, since it uses less digits than its factorization.

27405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 27405135 is about 5234.9914040044. The cubic root of 27405135 is about 301.4930569427.

It can be divided in two parts, 2740 and 5135, that added together give a triangular number (7875 = T125).

The spelling of 27405135 in words is "twenty-seven million, four hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 157 405 431 471 785 1293 1413 2155 2355 3879 4239 6465 7065 11637 12717 19395 21195 34911 58185 63585 67667 174555 203001 338335 609003 1015005 1827009 3045015 5481027 9135045 27405135