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12760000 = 26541129
BaseRepresentation
bin110000101011…
…001111000000
3220000021102121
4300223033000
511231310000
61133254024
7213313111
oct60531700
926007377
1012760000
117225860
124334314
132849bc6
1419a2208
1511c0b1a
hexc2b3c0

12760000 has 140 divisors (see below), whose sum is σ = 35707320. Its totient is φ = 4480000.

The previous prime is 12759997. The next prime is 12760021. The reversal of 12760000 is 6721.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439986 + ... + 440014.

Almost surely, 212760000 is an apocalyptic number.

12760000 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 12760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853660).

12760000 is an abundant number, since it is smaller than the sum of its proper divisors (22947320).

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

12760000 is an equidigital number, since it uses as much as digits as its factorization.

12760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 12760000 is about 3572.1142198984. The cubic root of 12760000 is about 233.6774966496.

Adding to 12760000 its reverse (6721), we get a palindrome (12766721).

The spelling of 12760000 in words is "twelve million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 110 116 125 145 160 176 200 220 232 250 275 290 319 320 352 400 440 464 500 550 580 625 638 704 725 800 880 928 1000 1100 1160 1250 1276 1375 1450 1595 1600 1760 1856 2000 2200 2320 2500 2552 2750 2900 3190 3520 3625 4000 4400 4640 5000 5104 5500 5800 6380 6875 7250 7975 8000 8800 9280 10000 10208 11000 11600 12760 13750 14500 15950 17600 18125 20000 20416 22000 23200 25520 27500 29000 31900 36250 39875 40000 44000 46400 51040 55000 58000 63800 72500 79750 88000 102080 110000 116000 127600 145000 159500 199375 220000 232000 255200 290000 319000 398750 440000 510400 580000 638000 797500 1160000 1276000 1595000 2552000 3190000 6380000 12760000