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12803940 = 22335131181
BaseRepresentation
bin110000110101…
…111101100100
3220002111201000
4300311331210
511234211230
61134233300
7213555162
oct60657544
926074630
1012803940
117255876
124355830
132863bc6
1419b4232
1511cdb60
hexc35f64

12803940 has 96 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3369600.

The previous prime is 12803933. The next prime is 12803951. The reversal of 12803940 is 4930821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70650 + ... + 70830.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 212803940 is an apocalyptic number.

12803940 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 12803940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12803940 is an abundant number, since it is smaller than the sum of its proper divisors (27556380).

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

12803940 is a wasteful number, since it uses less digits than its factorization.

12803940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12803940 is about 3578.2593533728. The cubic root of 12803940 is about 233.9454179071.

The spelling of 12803940 in words is "twelve million, eight hundred three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 181 262 270 362 393 524 540 543 655 724 786 905 1086 1179 1310 1572 1629 1810 1965 2172 2358 2620 2715 3258 3537 3620 3930 4716 4887 5430 5895 6516 7074 7860 8145 9774 10860 11790 14148 16290 17685 19548 23580 23711 24435 32580 35370 47422 48870 70740 71133 94844 97740 118555 142266 213399 237110 284532 355665 426798 474220 640197 711330 853596 1066995 1280394 1422660 2133990 2560788 3200985 4267980 6401970 12803940