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12997140 = 22351319877
BaseRepresentation
bin110001100101…
…001000010100
3220110022201120
4301211020110
511311402030
61142323540
7215321352
oct61451024
926408646
1012997140
117377a42
1244295b0
132900b20
141a247d2
15121b010
hexc65214

12997140 has 96 divisors (see below), whose sum is σ = 41301120. Its totient is φ = 3027456.

The previous prime is 12997111. The next prime is 12997151. The reversal of 12997140 is 4179921.

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, 14382 + ... + 15258.

It is an arithmetic number, because the mean of its divisors is an integer number (430220).

Almost surely, 212997140 is an apocalyptic number.

12997140 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 12997140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20650560).

12997140 is an abundant number, since it is smaller than the sum of its proper divisors (28303980).

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

12997140 is a wasteful number, since it uses less digits than its factorization.

12997140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 12997140 is about 3605.1546430077. The cubic root of 12997140 is about 235.1162243864.

The spelling of 12997140 in words is "twelve million, nine hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 877 988 1140 1235 1482 1754 2470 2631 2964 3508 3705 4385 4940 5262 7410 8770 10524 11401 13155 14820 16663 17540 22802 26310 33326 34203 45604 49989 52620 57005 66652 68406 83315 99978 114010 136812 166630 171015 199956 216619 228020 249945 333260 342030 433238 499890 649857 684060 866476 999780 1083095 1299714 2166190 2599428 3249285 4332380 6498570 12997140