Search a number
-
+
12666780 = 2234571117
BaseRepresentation
bin110000010100…
…011110011100
3212211112120000
4300110132130
511220314110
61131254300
7212444250
oct60243634
925745500
1012666780
117171815
1242aa390
132816649
14197a260
1511a31c0
hexc1479c

12666780 has 120 divisors (see below), whose sum is σ = 45453408. Its totient is φ = 2892672.

The previous prime is 12666779. The next prime is 12666803. The reversal of 12666780 is 8766621.

It is a happy number.

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

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 39 ways as a sum of consecutive naturals, for example, 10782 + ... + 11898.

Almost surely, 212666780 is an apocalyptic number.

12666780 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 12666780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726704).

12666780 is an abundant number, since it is smaller than the sum of its proper divisors (32786628).

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

12666780 is a wasteful number, since it uses less digits than its factorization.

12666780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 12666780 is about 3559.0420059336. The cubic root of 12666780 is about 233.1070504668.

The spelling of 12666780 in words is "twelve million, six hundred sixty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1117 1134 1260 1620 1890 2234 2268 2835 3351 3780 4468 5585 5670 6702 7819 10053 11170 11340 13404 15638 16755 20106 22340 23457 30159 31276 33510 39095 40212 46914 50265 60318 67020 70371 78190 90477 93828 100530 117285 120636 140742 150795 156380 180954 201060 211113 234570 281484 301590 351855 361908 422226 452385 469140 603180 633339 703710 844452 904770 1055565 1266678 1407420 1809540 2111130 2533356 3166695 4222260 6333390 12666780