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12688840 = 2351492129
BaseRepresentation
bin110000011001…
…110111001000
3212212122211001
4300121313020
511222020330
61131544344
7212565463
oct60316710
925778731
1012688840
11718734a
1242bb0b4
1328236b8
1419842da
1511a99ca
hexc19dc8

12688840 has 32 divisors (see below), whose sum is σ = 28755000. Its totient is φ = 5039104.

The previous prime is 12688829. The next prime is 12688859. The reversal of 12688840 is 4888621.

It can be written as a sum of positive squares in 4 ways, for example, as 6022116 + 6666724 = 2454^2 + 2582^2 .

It is a super-2 number, since 2×126888402 = 322013321091200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12688840.

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 7 ways as a sum of consecutive naturals, for example, 4896 + ... + 7024.

Almost surely, 212688840 is an apocalyptic number.

12688840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12688840 is an abundant number, since it is smaller than the sum of its proper divisors (16066160).

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

12688840 is a wasteful number, since it uses less digits than its factorization.

12688840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 12688840 is about 3562.1398063524. The cubic root of 12688840 is about 233.2422955509.

The spelling of 12688840 in words is "twelve million, six hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2129 2980 4258 5960 8516 10645 17032 21290 42580 85160 317221 634442 1268884 1586105 2537768 3172210 6344420 12688840