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27997040 = 245349963
BaseRepresentation
bin110101011001…
…1001101110000
31221200101201102
41222303031300
524131401130
62440023532
7456654011
oct152631560
957611642
1027997040
1114892655
129461ba8
135a533c6
143a0b008
1526d0645
hex1ab3370

27997040 has 20 divisors (see below), whose sum is σ = 65093304. Its totient is φ = 11198784.

The previous prime is 27997037. The next prime is 27997069. The reversal of 27997040 is 4079972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 27996985 and 27997003.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 174902 + ... + 175061.

Almost surely, 227997040 is an apocalyptic number.

27997040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27997040 is an abundant number, since it is smaller than the sum of its proper divisors (37096264).

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

27997040 is a wasteful number, since it uses less digits than its factorization.

27997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349976 (or 349970 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 27997040 is about 5291.2229210269. Note that the first 3 decimals coincide. The cubic root of 27997040 is about 303.6481964493.

The spelling of 27997040 in words is "twenty-seven million, nine hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349963 699926 1399852 1749815 2799704 3499630 5599408 6999260 13998520 27997040