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12881280 = 27356709
BaseRepresentation
bin110001001000…
…110110000000
3220020102210110
4301020312000
511244200110
61140031320
7214326516
oct61106600
926212713
1012881280
1172a8995
124392540
132890179
1419d44b6
1511e6a20
hexc48d80

12881280 has 64 divisors (see below), whose sum is σ = 41065200. Its totient is φ = 3434496.

The previous prime is 12881273. The next prime is 12881299. The reversal of 12881280 is 8218821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435 + ... + 5274.

Almost surely, 212881280 is an apocalyptic number.

12881280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12881280 is an abundant number, since it is smaller than the sum of its proper divisors (28183920).

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

12881280 is an equidigital number, since it uses as much as digits as its factorization.

12881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 12881280 is about 3589.0500135830. The cubic root of 12881280 is about 234.4155083761.

The spelling of 12881280 in words is "twelve million, eight hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6709 13418 20127 26836 33545 40254 53672 67090 80508 100635 107344 134180 161016 201270 214688 268360 322032 402540 429376 536720 644064 805080 858752 1073440 1288128 1610160 2146880 2576256 3220320 4293760 6440640 12881280