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12885840 = 24325111627
BaseRepresentation
bin110001001001…
…111101010000
3220020200001100
4301021331100
511244321330
61140104400
7214346022
oct61117520
926220040
1012885840
117301360
124395100
132892276
1419d6012
1511e8060
hexc49f50

12885840 has 120 divisors (see below), whose sum is σ = 47238048. Its totient is φ = 3121920.

The previous prime is 12885827. The next prime is 12885841. The reversal of 12885840 is 4858821.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12885795 and 12885804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12885841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7107 + ... + 8733.

Almost surely, 212885840 is an apocalyptic number.

12885840 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 12885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619024).

12885840 is an abundant number, since it is smaller than the sum of its proper divisors (34352208).

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

12885840 is a wasteful number, since it uses less digits than its factorization.

12885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12885840 is about 3589.6852229687. The cubic root of 12885840 is about 234.4431663057.

The spelling of 12885840 in words is "twelve million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1627 1980 2640 3254 3960 4881 6508 7920 8135 9762 13016 14643 16270 17897 19524 24405 26032 29286 32540 35794 39048 48810 53691 58572 65080 71588 73215 78096 89485 97620 107382 117144 130160 143176 146430 161073 178970 195240 214764 234288 268455 286352 292860 322146 357940 390480 429528 536910 585720 644292 715880 805365 859056 1073820 1171440 1288584 1431760 1610730 2147640 2577168 3221460 4295280 6442920 12885840