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12683720 = 235797467
BaseRepresentation
bin110000011000…
…100111001000
3212212101210102
4300120213020
511221334340
61131504532
7212544530
oct60304710
925771712
1012683720
117183515
1242b8148
13282127a
1419824c0
1511a8215
hexc189c8

12683720 has 64 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4294656.

The previous prime is 12683689. The next prime is 12683779. The reversal of 12683720 is 2738621.

It is a happy 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, 26927 + ... + 27393.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 212683720 is an apocalyptic number.

12683720 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 12683720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12683720 is an abundant number, since it is smaller than the sum of its proper divisors (20338360).

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

12683720 is a wasteful number, since it uses less digits than its factorization.

12683720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 12683720 is about 3561.4210646875. The cubic root of 12683720 is about 233.2109199166.

The spelling of 12683720 in words is "twelve million, six hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 467 485 679 776 934 970 1358 1868 1940 2335 2716 3269 3395 3736 3880 4670 5432 6538 6790 9340 13076 13580 16345 18680 26152 27160 32690 45299 65380 90598 130760 181196 226495 317093 362392 452990 634186 905980 1268372 1585465 1811960 2536744 3170930 6341860 12683720