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12735970 = 25133132
BaseRepresentation
bin110000100101…
…010111100010
3212222001110121
4300211113202
511230022340
61132550454
7213153052
oct60452742
925861417
1012735970
1172097a5
12432242a
13283bca0
141997562
1511b894a
hexc255e2

12735970 has 24 divisors (see below), whose sum is σ = 24767316. Its totient is φ = 4687488.

The previous prime is 12735967. The next prime is 12735971. The reversal of 12735970 is 7953721.

It can be written as a sum of positive squares in 6 ways, for example, as 436921 + 12299049 = 661^2 + 3507^2 .

It is a super-3 number, since 3×127359703 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12735971) by changing a digit.

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, 40534 + ... + 40846.

Almost surely, 212735970 is an apocalyptic number.

12735970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12735970 is a deficient number, since it is larger than the sum of its proper divisors (12031346).

12735970 is an equidigital number, since it uses as much as digits as its factorization.

12735970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 12735970 is about 3568.7490805603. The cubic root of 12735970 is about 233.5307150696.

The spelling of 12735970 in words is "twelve million, seven hundred thirty-five thousand, nine hundred seventy".

Divisors: 1 2 5 10 13 26 65 130 313 626 1565 3130 4069 8138 20345 40690 97969 195938 489845 979690 1273597 2547194 6367985 12735970