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12663420 = 22357112741
BaseRepresentation
bin110000010011…
…101001111100
3212211100221120
4300103221330
511220212140
61131230540
7212431410
oct60235174
925740846
1012663420
11716a240
1242a8450
132814c63
141978d40
1511a21d0
hexc13a7c

12663420 has 96 divisors (see below), whose sum is σ = 44222976. Its totient is φ = 2630400.

The previous prime is 12663403. The next prime is 12663433. The reversal of 12663420 is 2436621.

12663420 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12663420 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3250 + ... + 5990.

It is an arithmetic number, because the mean of its divisors is an integer number (460656).

Almost surely, 212663420 is an apocalyptic number.

12663420 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 12663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111488).

12663420 is an abundant number, since it is smaller than the sum of its proper divisors (31559556).

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

12663420 is a wasteful number, since it uses less digits than its factorization.

12663420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12663420 is about 3558.5699374889. The cubic root of 12663420 is about 233.0864372577.

It can be divided in two parts, 126 and 63420, that added together give a triangular number (63546 = T356).

The spelling of 12663420 in words is "twelve million, six hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2741 4620 5482 8223 10964 13705 16446 19187 27410 30151 32892 38374 41115 54820 57561 60302 76748 82230 90453 95935 115122 120604 150755 164460 180906 191870 211057 230244 287805 301510 361812 383740 422114 452265 575610 603020 633171 844228 904530 1055285 1151220 1266342 1809060 2110570 2532684 3165855 4221140 6331710 12663420