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27668040 = 2335230567
BaseRepresentation
bin110100110001…
…0111001001000
31221001200102020
41221202321020
524040334130
62425004440
7454113561
oct151427110
957050366
1027668040
1114688454
129323720
13596972a
143963168
152667e10
hex1a62e48

27668040 has 32 divisors (see below), whose sum is σ = 83004480. Its totient is φ = 7378112.

The previous prime is 27668033. The next prime is 27668099. The reversal of 27668040 is 4086672.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27667992 and 27668010.

It is an unprimeable number.

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, 115164 + ... + 115403.

It is an arithmetic number, because the mean of its divisors is an integer number (2593890).

Almost surely, 227668040 is an apocalyptic number.

27668040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27668040 is an abundant number, since it is smaller than the sum of its proper divisors (55336440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27668040 is a wasteful number, since it uses less digits than its factorization.

27668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230581 (or 230577 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 27668040 is about 5260.0418249288. The cubic root of 27668040 is about 302.4540922524.

The spelling of 27668040 in words is "twenty-seven million, six hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 230567 461134 691701 922268 1152835 1383402 1844536 2305670 2766804 3458505 4611340 5533608 6917010 9222680 13834020 27668040