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12688650 = 2345213241
BaseRepresentation
bin110000011001…
…110100001010
3212212122120000
4300121310022
511222014100
61131543430
7212565102
oct60316412
925778500
1012688650
117187197
1242bab76
1328235a0
141984202
1511a9900
hexc19d0a

12688650 has 120 divisors (see below), whose sum is σ = 38125164. Its totient is φ = 3110400.

The previous prime is 12688649. The next prime is 12688679. The reversal of 12688650 is 5688621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3814209 + 8874441 = 1953^2 + 2979^2 .

It is a super-2 number, since 2×126886502 = 322003677645000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52530 + ... + 52770.

Almost surely, 212688650 is an apocalyptic number.

12688650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12688650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062582).

12688650 is an abundant number, since it is smaller than the sum of its proper divisors (25436514).

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

12688650 is a wasteful number, since it uses less digits than its factorization.

12688650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12688650 is about 3562.1131368894. The cubic root of 12688650 is about 233.2411313715.

The spelling of 12688650 in words is "twelve million, six hundred eighty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 241 270 325 351 390 405 450 482 585 650 675 702 723 810 975 1053 1170 1205 1350 1446 1755 1950 2025 2106 2169 2410 2925 3133 3510 3615 4050 4338 5265 5850 6025 6266 6507 7230 8775 9399 10530 10845 12050 13014 15665 17550 18075 18798 19521 21690 26325 28197 31330 32535 36150 39042 46995 52650 54225 56394 65070 78325 84591 93990 97605 108450 140985 156650 162675 169182 195210 234975 253773 281970 325350 422955 469950 488025 507546 704925 845910 976050 1268865 1409850 2114775 2537730 4229550 6344325 12688650