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12940980 = 22351347353
BaseRepresentation
bin110001010111…
…011010110100
3220100110200120
4301113122310
511303102410
61141211540
7214665543
oct61273264
926313616
1012940980
117339828
124400bb0
1328b13b0
141a0c15a
151209570
hexc576b4

12940980 has 96 divisors (see below), whose sum is σ = 39965184. Its totient is φ = 3108864.

The previous prime is 12940969. The next prime is 12940987. The reversal of 12940980 is 8904921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12940987) by changing a digit.

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, 36484 + ... + 36836.

It is an arithmetic number, because the mean of its divisors is an integer number (416304).

Almost surely, 212940980 is an apocalyptic number.

12940980 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 12940980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982592).

12940980 is an abundant number, since it is smaller than the sum of its proper divisors (27024204).

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

12940980 is a wasteful number, since it uses less digits than its factorization.

12940980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12940980 is about 3597.3573633989. The cubic root of 12940980 is about 234.7770935962. Note that the first 3 decimals are identical.

The spelling of 12940980 in words is "twelve million, nine hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 353 390 470 564 611 705 706 780 940 1059 1222 1410 1412 1765 1833 2118 2444 2820 3055 3530 3666 4236 4589 5295 6110 7060 7332 9165 9178 10590 12220 13767 16591 18330 18356 21180 22945 27534 33182 36660 45890 49773 55068 66364 68835 82955 91780 99546 137670 165910 199092 215683 248865 275340 331820 431366 497730 647049 862732 995460 1078415 1294098 2156830 2588196 3235245 4313660 6470490 12940980