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12646640 = 245172547
BaseRepresentation
bin110000001111…
…100011110000
3212210111221002
4300033203300
511214143030
61131021132
7212331446
oct60174360
925714832
1012646640
117158676
12429a7a8
13280a426
141972b96
15119c245
hexc0f8f0

12646640 has 60 divisors (see below), whose sum is σ = 31291896. Its totient is φ = 4752384.

The previous prime is 12646597. The next prime is 12646661. The reversal of 12646640 is 4664621.

It is a zygodrome in base 2.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22847 + ... + 23393.

Almost surely, 212646640 is an apocalyptic number.

12646640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645948).

12646640 is an abundant number, since it is smaller than the sum of its proper divisors (18645256).

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

12646640 is a wasteful number, since it uses less digits than its factorization.

12646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 12646640 is about 3556.2114672781. The cubic root of 12646640 is about 232.9834392989.

The spelling of 12646640 in words is "twelve million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 547 578 680 1094 1156 1360 1445 2188 2312 2735 2890 4376 4624 5470 5780 8752 9299 10940 11560 18598 21880 23120 37196 43760 46495 74392 92990 148784 158083 185980 316166 371960 632332 743920 790415 1264664 1580830 2529328 3161660 6323320 12646640