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12712680 = 2333579149
BaseRepresentation
bin110000011111…
…101011101000
3212220212112000
4300133223220
511223301210
61132251000
7213025131
oct60375350
925825460
1012712680
1171a3252
124310a60
1328314c6
14198cc88
1511b1ac0
hexc1fae8

12712680 has 128 divisors (see below), whose sum is σ = 43200000. Its totient is φ = 3324672.

The previous prime is 12712669. The next prime is 12712699. The reversal of 12712680 is 8621721.

It is a super-2 number, since 2×127126802 = 323224465564800, which contains 22 as substring.

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, 85246 + ... + 85394.

It is an arithmetic number, because the mean of its divisors is an integer number (337500).

Almost surely, 212712680 is an apocalyptic number.

12712680 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 12712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600000).

12712680 is an abundant number, since it is smaller than the sum of its proper divisors (30487320).

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

12712680 is a wasteful number, since it uses less digits than its factorization.

12712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12712680 is about 3565.4845393018. The cubic root of 12712680 is about 233.3882773105.

The spelling of 12712680 in words is "twelve million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 90 108 120 135 149 158 180 216 237 270 298 316 360 395 447 474 540 596 632 711 745 790 894 948 1080 1185 1192 1341 1422 1490 1580 1788 1896 2133 2235 2370 2682 2844 2980 3160 3555 3576 4023 4266 4470 4740 5364 5688 5960 6705 7110 8046 8532 8940 9480 10665 10728 11771 13410 14220 16092 17064 17880 20115 21330 23542 26820 28440 32184 35313 40230 42660 47084 53640 58855 70626 80460 85320 94168 105939 117710 141252 160920 176565 211878 235420 282504 317817 353130 423756 470840 529695 635634 706260 847512 1059390 1271268 1412520 1589085 2118780 2542536 3178170 4237560 6356340 12712680