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12703008 = 2531131171
BaseRepresentation
bin110000011101…
…010100100000
3212220101020210
4300131110200
511222444013
61132134120
7212655003
oct60352440
925811223
1012703008
117196a5a
124307340
132829c96
14198953a
1511adcc3
hexc1d520

12703008 has 48 divisors (see below), whose sum is σ = 33669216. Its totient is φ = 4193280.

The previous prime is 12703007. The next prime is 12703013. The reversal of 12703008 is 80030721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×127030082 = 322732824496128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12703003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10263 + ... + 11433.

It is an arithmetic number, because the mean of its divisors is an integer number (701442).

Almost surely, 212703008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12703008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834608).

12703008 is an abundant number, since it is smaller than the sum of its proper divisors (20966208).

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

12703008 is a wasteful number, since it uses less digits than its factorization.

12703008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12703008 is about 3564.1279438314. The cubic root of 12703008 is about 233.3290738451.

Adding to 12703008 its reverse (80030721), we get a palindrome (92733729).

It can be divided in two parts, 1270 and 3008, that added together give a triangular number (4278 = T92).

The spelling of 12703008 in words is "twelve million, seven hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1171 1356 1808 2342 2712 3513 3616 4684 5424 7026 9368 10848 14052 18736 28104 37472 56208 112416 132323 264646 396969 529292 793938 1058584 1587876 2117168 3175752 4234336 6351504 12703008