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12688590 = 235478999
BaseRepresentation
bin110000011001…
…110011001110
3212212122110210
4300121303032
511222013330
61131543250
7212564655
oct60316316
925778423
1012688590
117187142
1242bab26
132823555
14198419c
1511a98b0
hexc19cce

12688590 has 32 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3311264.

The previous prime is 12688589. The next prime is 12688597. The reversal of 12688590 is 9588621.

12688590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126885902 = 322000632376200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 212688590 is an apocalyptic number.

12688590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12688590 is an abundant number, since it is smaller than the sum of its proper divisors (18415410).

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

12688590 is a wasteful number, since it uses less digits than its factorization.

12688590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 12688590 is about 3562.1047149122. The cubic root of 12688590 is about 233.2407637335.

The spelling of 12688590 in words is "twelve million, six hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 8999 17998 26997 44995 53994 89990 134985 269970 422953 845906 1268859 2114765 2537718 4229530 6344295 12688590