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80097760 = 2551912621
BaseRepresentation
bin1001100011000…
…11000111100000
312120201101110201
410301203013200
5131001112020
611540434544
71661551111
oct461430740
9176641421
1080097760
11412386a6
12229a8a54
1313795a32
14a8d0208
157072a0a
hex4c631e0

80097760 has 48 divisors (see below), whose sum is σ = 190294272. Its totient is φ = 31859200.

The previous prime is 80097737. The next prime is 80097779. The reversal of 80097760 is 6779008.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 29250 + ... + 31870.

It is an arithmetic number, because the mean of its divisors is an integer number (3964464).

Almost surely, 280097760 is an apocalyptic number.

80097760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95147136).

80097760 is an abundant number, since it is smaller than the sum of its proper divisors (110196512).

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

80097760 is a wasteful number, since it uses less digits than its factorization.

80097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 80097760 is about 8949.7351916132. The cubic root of 80097760 is about 431.0623811747.

The spelling of 80097760 in words is "eighty million, ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 2621 3056 3820 5242 6112 7640 10484 13105 15280 20968 26210 30560 41936 52420 83872 104840 209680 419360 500611 1001222 2002444 2503055 4004888 5006110 8009776 10012220 16019552 20024440 40048880 80097760