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12831280 = 2457112083
BaseRepresentation
bin110000111100…
…101000110000
3220010220012121
4300330220300
511241100110
61135004024
7214030660
oct60745060
926126177
1012831280
117274370
124369614
132873497
1419c01a0
1511d6cda
hexc3ca30

12831280 has 80 divisors (see below), whose sum is σ = 37211904. Its totient is φ = 3997440.

The previous prime is 12831227. The next prime is 12831293. The reversal of 12831280 is 8213821.

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

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, 5119 + ... + 7201.

Almost surely, 212831280 is an apocalyptic number.

12831280 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 12831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18605952).

12831280 is an abundant number, since it is smaller than the sum of its proper divisors (24380624).

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

12831280 is a wasteful number, since it uses less digits than its factorization.

12831280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12831280 is about 3582.0776094328. The cubic root of 12831280 is about 234.1118125391. Note that the first 3 decimals are identical.

The spelling of 12831280 in words is "twelve million, eight hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2083 3080 4166 6160 8332 10415 14581 16664 20830 22913 29162 33328 41660 45826 58324 72905 83320 91652 114565 116648 145810 160391 166640 183304 229130 233296 291620 320782 366608 458260 583240 641564 801955 916520 1166480 1283128 1603910 1833040 2566256 3207820 6415640 12831280