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13327327 = 132329253
BaseRepresentation
bin110010110101…
…101111011111
3221002002122201
4302311233133
511402433302
61153352331
7221165116
oct62655737
927062581
1013327327
117583022
1245686a7
1329b81c0
141aacc7d
151283c87
hexcb5bdf

13327327 has 24 divisors (see below), whose sum is σ = 15803424. Its totient is φ = 11147136.

The previous prime is 13327297. The next prime is 13327343. The reversal of 13327327 is 72372331.

It is not a de Polignac number, because 13327327 - 215 = 13294559 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (5292) is a multiple of the sum of its prime factors (147).

It is a junction number, because it is equal to n+sod(n) for n = 13327295 and 13327304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327387) 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 23 ways as a sum of consecutive naturals, for example, 251433 + ... + 251485.

It is an arithmetic number, because the mean of its divisors is an integer number (658476).

Almost surely, 213327327 is an apocalyptic number.

13327327 is a deficient number, since it is larger than the sum of its proper divisors (2476097).

13327327 is a wasteful number, since it uses less digits than its factorization.

13327327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 13327327 is about 3650.6611729932. The cubic root of 13327327 is about 237.0906084734.

Adding to 13327327 its reverse (72372331), we get a palindrome (85699658).

The spelling of 13327327 in words is "thirteen million, three hundred twenty-seven thousand, three hundred twenty-seven".

Divisors: 1 13 23 29 53 299 377 667 689 841 1219 1537 8671 10933 15847 19343 19981 35351 44573 251459 459563 579449 1025179 13327327