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12674560 = 2954951
BaseRepresentation
bin110000010110…
…011000000000
3212211221020011
4300112120000
511221041220
61131354304
7212506033
oct60263000
925757204
1012674560
117177648
1242b2994
13281a052
14197d01a
1511a565a
hexc16600

12674560 has 40 divisors (see below), whose sum is σ = 30395376. Its totient is φ = 5068800.

The previous prime is 12674549. The next prime is 12674561. The reversal of 12674560 is 6547621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 85 + ... + 5035.

Almost surely, 212674560 is an apocalyptic number.

12674560 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 12674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197688).

12674560 is an abundant number, since it is smaller than the sum of its proper divisors (17720816).

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

12674560 is an frugal number, since it uses more digits than its factorization.

12674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 12674560 is about 3560.1348289075. The cubic root of 12674560 is about 233.1547658735.

The spelling of 12674560 in words is "twelve million, six hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4951 9902 19804 24755 39608 49510 79216 99020 158432 198040 316864 396080 633728 792160 1267456 1584320 2534912 3168640 6337280 12674560