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80755040 = 2555389107
BaseRepresentation
bin1001101000000…
…11100101100000
312121221210002102
410310003211200
5131133130130
612002505532
72000256302
oct464034540
9177853072
1080755040
1141647503
12230652a8
1313965c62
14aa21972
157152645
hex4d03960

80755040 has 96 divisors (see below), whose sum is σ = 198404640. Its totient is φ = 31043584.

The previous prime is 80755007. The next prime is 80755057. The reversal of 80755040 is 4055708.

It is a junction number, because it is equal to n+sod(n) for n = 80754994 and 80755012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754667 + ... + 754773.

It is an arithmetic number, because the mean of its divisors is an integer number (2066715).

Almost surely, 280755040 is an apocalyptic number.

80755040 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 80755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99202320).

80755040 is an abundant number, since it is smaller than the sum of its proper divisors (117649600).

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

80755040 is a wasteful number, since it uses less digits than its factorization.

80755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 80755040 is about 8986.3808065316. The cubic root of 80755040 is about 432.2382659103.

The spelling of 80755040 in words is "eighty million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 89 106 107 160 178 212 214 265 356 424 428 445 530 535 712 848 856 890 1060 1070 1424 1696 1712 1780 2120 2140 2848 3424 3560 4240 4280 4717 5671 7120 8480 8560 9434 9523 11342 14240 17120 18868 19046 22684 23585 28355 37736 38092 45368 47170 47615 56710 75472 76184 90736 94340 95230 113420 150944 152368 181472 188680 190460 226840 304736 377360 380920 453680 504719 754720 761840 907360 1009438 1523680 2018876 2523595 4037752 5047190 8075504 10094380 16151008 20188760 40377520 80755040