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80027280 = 24325111149
BaseRepresentation
bin1001100010100…
…01111010010000
312120120210210100
410301101322100
5130441333110
611535132400
71661135454
oct461217220
9176523710
1080027280
114119a753
1222974100
131376c928
14a8b2664
15705bbc0
hex4c51e90

80027280 has 60 divisors (see below), whose sum is σ = 268760700. Its totient is φ = 21340416.

The previous prime is 80027273. The next prime is 80027291. The reversal of 80027280 is 8272008.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 46294416 = 5808^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 54855 + ... + 56294.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345).

Almost surely, 280027280 is an apocalyptic number.

80027280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80027280 is an abundant number, since it is smaller than the sum of its proper divisors (188733420).

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

80027280 is a wasteful number, since it uses less digits than its factorization.

80027280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111168 (or 111159 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80027280 is about 8945.7967783759. The cubic root of 80027280 is about 430.9359099223.

Adding to 80027280 its reverse (8272008), we get a palindrome (88299288).

The spelling of 80027280 in words is "eighty million, twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 111149 222298 333447 444596 555745 666894 889192 1000341 1111490 1333788 1667235 1778384 2000682 2222980 2667576 3334470 4001364 4445960 5001705 5335152 6668940 8002728 8891920 10003410 13337880 16005456 20006820 26675760 40013640 80027280