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12770640 = 2432517737
BaseRepresentation
bin110000101101…
…110101010000
3220000211000200
4300231311100
511232130030
61133415200
7213356121
oct60556520
926024020
1012770640
117232853
12433a500
1328519bc
1419a6048
1511c3d60
hexc2dd50

12770640 has 60 divisors (see below), whose sum is σ = 42890484. Its totient is φ = 3405312.

The previous prime is 12770599. The next prime is 12770651. The reversal of 12770640 is 4607721.

12770640 is a `hidden beast` number, since 12 + 7 + 7 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 4613904 = 2856^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 8149 + ... + 9588.

Almost surely, 212770640 is an apocalyptic number.

12770640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12770640 is an abundant number, since it is smaller than the sum of its proper divisors (30119844).

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

12770640 is a wasteful number, since it uses less digits than its factorization.

12770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17756 (or 17747 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12770640 is about 3573.6032236386. The cubic root of 12770640 is about 233.7424297166.

The spelling of 12770640 in words is "twelve million, seven hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17737 35474 53211 70948 88685 106422 141896 159633 177370 212844 266055 283792 319266 354740 425688 532110 638532 709480 798165 851376 1064220 1277064 1418960 1596330 2128440 2554128 3192660 4256880 6385320 12770640