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12887640 = 2333511933
BaseRepresentation
bin110001001010…
…011001011000
3220020202112000
4301022121120
511244401030
61140121000
7214354203
oct61123130
926222460
1012887640
117302747
124396160
13289302c
1419d693a
1511e8860
hexc4a658

12887640 has 64 divisors (see below), whose sum is σ = 42962400. Its totient is φ = 3436416.

The previous prime is 12887627. The next prime is 12887657. The reversal of 12887640 is 4678821.

12887640 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12887595 and 12887604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 7046.

Almost surely, 212887640 is an apocalyptic number.

12887640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12887640 is an abundant number, since it is smaller than the sum of its proper divisors (30074760).

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

12887640 is a wasteful number, since it uses less digits than its factorization.

12887640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12887640 is about 3589.9359325760. The cubic root of 12887640 is about 234.4540821133.

The spelling of 12887640 in words is "twelve million, eight hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11933 23866 35799 47732 59665 71598 95464 107397 119330 143196 178995 214794 238660 286392 322191 357990 429588 477320 536985 644382 715980 859176 1073970 1288764 1431960 1610955 2147940 2577528 3221910 4295880 6443820 12887640