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12770000 = 24541277
BaseRepresentation
bin110000101101…
…101011010000
3220000210010222
4300231223100
511232120000
61133412212
7213354215
oct60555320
926023128
1012770000
117232321
12433a068
132851619
1419a5b0c
1511c3a85
hexc2dad0

12770000 has 50 divisors (see below), whose sum is σ = 30941658. Its totient is φ = 5104000.

The previous prime is 12769993. The next prime is 12770053. The reversal of 12770000 is 7721.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 4032064 + 8737936 = 2008^2 + 2956^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9362 + ... + 10638.

Almost surely, 212770000 is an apocalyptic number.

12770000 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 12770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470829).

12770000 is an abundant number, since it is smaller than the sum of its proper divisors (18171658).

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

12770000 is an equidigital number, since it uses as much as digits as its factorization.

12770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 12770000 is about 3573.5136770411. The cubic root of 12770000 is about 233.7385249879.

Adding to 12770000 its reverse (7721), we get a palindrome (12777721).

The spelling of 12770000 in words is "twelve million, seven hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1277 2000 2500 2554 5000 5108 6385 10000 10216 12770 20432 25540 31925 51080 63850 102160 127700 159625 255400 319250 510800 638500 798125 1277000 1596250 2554000 3192500 6385000 12770000