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12199680 = 28335353
BaseRepresentation
bin101110100010…
…011100000000
3211221210211000
4232202130000
511110342210
61113252000
7205460403
oct56423400
924853730
1012199680
116982889
124104000
1326b1b5c
141897d3a
15110eac0
hexba2700

12199680 has 144 divisors (see below), whose sum is σ = 43414560. Its totient is φ = 3244032.

The previous prime is 12199669. The next prime is 12199697. The reversal of 12199680 is 8699121.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34384 + ... + 34736.

It is an arithmetic number, because the mean of its divisors is an integer number (301490).

Almost surely, 212199680 is an apocalyptic number.

12199680 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 12199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707280).

12199680 is an abundant number, since it is smaller than the sum of its proper divisors (31214880).

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

12199680 is an equidigital number, since it uses as much as digits as its factorization.

12199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12199680 is about 3492.8040311475. The cubic root of 12199680 is about 230.2057390333.

The spelling of 12199680 in words is "twelve million, one hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 353 360 384 432 480 540 576 640 706 720 768 864 960 1059 1080 1152 1280 1412 1440 1728 1765 1920 2118 2160 2304 2824 2880 3177 3456 3530 3840 4236 4320 5295 5648 5760 6354 6912 7060 8472 8640 9531 10590 11296 11520 12708 14120 15885 16944 17280 19062 21180 22592 25416 28240 31770 33888 34560 38124 42360 45184 47655 50832 56480 63540 67776 76248 84720 90368 95310 101664 112960 127080 135552 152496 169440 190620 203328 225920 254160 271104 304992 338880 381240 406656 451840 508320 609984 677760 762480 813312 1016640 1219968 1355520 1524960 2033280 2439936 3049920 4066560 6099840 12199680