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80743040 = 275767269
BaseRepresentation
bin1001101000000…
…00101010000000
312121221011121222
410310000222000
5131132234130
612002334212
72000206310
oct464005200
9177834558
1080743040
1141639494
122305a368
1313960661
14aa1b440
15714dce5
hex4d00a80

80743040 has 128 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 27168768.

The previous prime is 80743031. The next prime is 80743057. The reversal of 80743040 is 4034708.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300026 + ... + 300294.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 280743040 is an apocalyptic number.

80743040 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 80743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

80743040 is an abundant number, since it is smaller than the sum of its proper divisors (143983360).

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

80743040 is a wasteful number, since it uses less digits than its factorization.

80743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 80743040 is about 8985.7131047013. The cubic root of 80743040 is about 432.2168550025.

Adding to 80743040 its reverse (4034708), we get a palindrome (84777748).

The spelling of 80743040 in words is "eighty million, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 128 134 140 160 224 268 269 280 320 335 448 469 536 538 560 640 670 896 938 1072 1076 1120 1340 1345 1876 1883 2144 2152 2240 2345 2680 2690 3752 3766 4288 4304 4480 4690 5360 5380 7504 7532 8576 8608 9380 9415 10720 10760 15008 15064 17216 18023 18760 18830 21440 21520 30016 30128 34432 36046 37520 37660 42880 43040 60032 60256 72092 75040 75320 86080 90115 120512 126161 144184 150080 150640 172160 180230 241024 252322 288368 300160 301280 360460 504644 576736 602560 630805 720920 1009288 1153472 1205120 1261610 1441840 2018576 2306944 2523220 2883680 4037152 5046440 5767360 8074304 10092880 11534720 16148608 20185760 40371520 80743040