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12802080 = 2535149179
BaseRepresentation
bin110000110101…
…100000100000
3220002102011010
4300311200200
511234131310
61134220520
7213546564
oct60654040
926072133
1012802080
117254435
124354740
1328630c5
1419b36a4
1511cd320
hexc35820

12802080 has 96 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 3372032.

The previous prime is 12802073. The next prime is 12802091. The reversal of 12802080 is 8020821.

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

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, 71431 + ... + 71609.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 212802080 is an apocalyptic number.

12802080 is a gapful number since it is divisible by the number (10) 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 12802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

12802080 is an abundant number, since it is smaller than the sum of its proper divisors (28021920).

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

12802080 is a wasteful number, since it uses less digits than its factorization.

12802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12802080 is about 3577.9994410285. Note that the first 3 decimals coincide. The cubic root of 12802080 is about 233.9340891143.

The spelling of 12802080 in words is "twelve million, eight hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 179 240 298 358 447 480 537 596 716 745 894 895 1074 1192 1432 1490 1788 1790 2148 2235 2384 2685 2864 2980 3576 3580 4296 4470 4768 5370 5728 5960 7152 7160 8592 8940 10740 11920 14304 14320 17184 17880 21480 23840 26671 28640 35760 42960 53342 71520 80013 85920 106684 133355 160026 213368 266710 320052 400065 426736 533420 640104 800130 853472 1066840 1280208 1600260 2133680 2560416 3200520 4267360 6401040 12802080