Search a number
-
+
80516080 = 2451773811
BaseRepresentation
bin1001100110010…
…01001111110000
312121111122022001
410303021033300
5131103003310
611553423344
71665242521
oct463111760
9177448261
1080516080
11414a3a17
1222b6ab54
13138b1268
14a99c848
15710693a
hex4cc93f0

80516080 has 80 divisors (see below), whose sum is σ = 201174624. Its totient is φ = 29859840.

The previous prime is 80516071. The next prime is 80516101. The reversal of 80516080 is 8061508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98875 + ... + 99685.

Almost surely, 280516080 is an apocalyptic number.

80516080 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 80516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100587312).

80516080 is an abundant number, since it is smaller than the sum of its proper divisors (120658544).

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

80516080 is a wasteful number, since it uses less digits than its factorization.

80516080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 80516080 is about 8973.0752810840. The cubic root of 80516080 is about 431.8115032695.

Adding to 80516080 its reverse (8061508), we get a palindrome (88577588).

The spelling of 80516080 in words is "eighty million, five hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 170 272 292 340 365 584 680 730 811 1168 1241 1360 1460 1622 2482 2920 3244 4055 4964 5840 6205 6488 8110 9928 12410 12976 13787 16220 19856 24820 27574 32440 49640 55148 59203 64880 68935 99280 110296 118406 137870 220592 236812 275740 296015 473624 551480 592030 947248 1006451 1102960 1184060 2012902 2368120 4025804 4736240 5032255 8051608 10064510 16103216 20129020 40258040 80516080