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12927000 = 2335331139
BaseRepresentation
bin110001010100…
…000000011000
3220022202111210
4301110000120
511302131000
61141023120
7214610022
oct61240030
926282453
1012927000
11732a279
1243b4aa0
1328a7c18
141a07012
151205350
hexc54018

12927000 has 128 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3312000.

The previous prime is 12926993. The next prime is 12927017. The reversal of 12927000 is 72921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92931 + ... + 93069.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 212927000 is an apocalyptic number.

12927000 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 12927000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12927000 is an abundant number, since it is smaller than the sum of its proper divisors (29005800).

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

12927000 is a wasteful number, since it uses less digits than its factorization.

12927000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12927000 is about 3595.4137453150. The cubic root of 12927000 is about 234.6925207540.

Adding to 12927000 its reverse (72921), we get a palindrome (12999921).

The spelling of 12927000 in words is "twelve million, nine hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 139 150 155 186 200 248 250 278 300 310 372 375 417 465 500 556 600 620 695 744 750 775 834 930 1000 1112 1240 1390 1500 1550 1668 1860 2085 2325 2780 3000 3100 3336 3475 3720 3875 4170 4309 4650 5560 6200 6950 7750 8340 8618 9300 10425 11625 12927 13900 15500 16680 17236 17375 18600 20850 21545 23250 25854 27800 31000 34472 34750 41700 43090 46500 51708 52125 64635 69500 83400 86180 93000 103416 104250 107725 129270 139000 172360 208500 215450 258540 323175 417000 430900 517080 538625 646350 861800 1077250 1292700 1615875 2154500 2585400 3231750 4309000 6463500 12927000