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27006993 = 331376943
BaseRepresentation
bin110011100000…
…1100000010001
31212211002122000
41213001200101
523403210433
62402504213
7445361406
oct147014021
955732560
1027006993
1114276832
129065069
135797890
1438302ad
152587113
hex19c1811

27006993 has 16 divisors (see below), whose sum is σ = 43088640. Its totient is φ = 16619472.

The previous prime is 27006979. The next prime is 27006997. The reversal of 27006993 is 39960072.

It is not a de Polignac number, because 27006993 - 24 = 27006977 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

27006993 is a modest number, since divided by 6993 gives 27 as remainder.

It is not an unprimeable number, because it can be changed into a prime (27006997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38121 + ... + 38822.

It is an arithmetic number, because the mean of its divisors is an integer number (2693040).

Almost surely, 227006993 is an apocalyptic number.

It is an amenable number.

27006993 is a deficient number, since it is larger than the sum of its proper divisors (16081647).

27006993 is a wasteful number, since it uses less digits than its factorization.

27006993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76965 (or 76959 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 27006993 is about 5196.8252808806. The cubic root of 27006993 is about 300.0258977643.

The spelling of 27006993 in words is "twenty-seven million, six thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 117 351 76943 230829 692487 1000259 2077461 3000777 9002331 27006993