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80130720 = 25351391201
BaseRepresentation
bin1001100011010…
…11001010100000
312120210001200110
410301223022200
5131003140340
611541251320
71662046155
oct461531240
9176701613
1080130720
114126043a
1222a03b40
13137a7a37
14a8dc22c
15707c680
hex4c6b2a0

80130720 has 96 divisors (see below), whose sum is σ = 254439360. Its totient is φ = 21196800.

The previous prime is 80130719. The next prime is 80130731. The reversal of 80130720 is 2703108.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 66120 + ... + 67320.

It is an arithmetic number, because the mean of its divisors is an integer number (2650410).

Almost surely, 280130720 is an apocalyptic number.

80130720 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 80130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127219680).

80130720 is an abundant number, since it is smaller than the sum of its proper divisors (174308640).

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

80130720 is a wasteful number, since it uses less digits than its factorization.

80130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 80130720 is about 8951.5763974844. The cubic root of 80130720 is about 431.1215000468.

Adding to 80130720 its reverse (2703108), we get a palindrome (82833828).

The spelling of 80130720 in words is "eighty million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1201 1390 1668 2085 2224 2402 2780 3336 3603 4170 4448 4804 5560 6005 6672 7206 8340 9608 11120 12010 13344 14412 16680 18015 19216 22240 24020 28824 33360 36030 38432 48040 57648 66720 72060 96080 115296 144120 166939 192160 288240 333878 500817 576480 667756 834695 1001634 1335512 1669390 2003268 2504085 2671024 3338780 4006536 5008170 5342048 6677560 8013072 10016340 13355120 16026144 20032680 26710240 40065360 80130720