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27312431 = 235092333
BaseRepresentation
bin110100000110…
…0000100101111
31220101121121112
41220030010233
523442444211
62413222235
7451103036
oct150140457
956347545
1027312431
1114465263
12919197b
135873903
1438ad71d
1525e788b
hex1a0c12f

27312431 has 8 divisors (see below), whose sum is σ = 28568160. Its totient is φ = 26062432.

The previous prime is 27312419. The next prime is 27312463. The reversal of 27312431 is 13421372.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27312431 is a prime.

It is a super-2 number, since 2×273124312 = 1491937774259522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27312397 and 27312406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27314431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10541 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (3571020).

Almost surely, 227312431 is an apocalyptic number.

27312431 is a deficient number, since it is larger than the sum of its proper divisors (1255729).

27312431 is a wasteful number, since it uses less digits than its factorization.

27312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865.

The product of its digits is 1008, while the sum is 23.

The square root of 27312431 is about 5226.1296386523. The cubic root of 27312431 is about 301.1527169908.

The spelling of 27312431 in words is "twenty-seven million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 23 509 2333 11707 53659 1187497 27312431