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12903280 = 2451319653
BaseRepresentation
bin110001001110…
…001101110000
3220021112222021
4301032031300
511300401110
61140321224
7214450615
oct61161560
926245867
1012903280
117313475
1243a3214
13289a1a0
1419dc50c
1511ed2da
hexc4e370

12903280 has 80 divisors (see below), whose sum is σ = 34060320. Its totient is φ = 4506624.

The previous prime is 12903277. The next prime is 12903281. The reversal of 12903280 is 8230921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19434 + ... + 20086.

It is an arithmetic number, because the mean of its divisors is an integer number (425754).

Almost surely, 212903280 is an apocalyptic number.

12903280 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 12903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030160).

12903280 is an abundant number, since it is smaller than the sum of its proper divisors (21157040).

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

12903280 is a wasteful number, since it uses less digits than its factorization.

12903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12903280 is about 3592.1135839503. The cubic root of 12903280 is about 234.5488855973.

The spelling of 12903280 in words is "twelve million, nine hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 653 760 988 1040 1235 1306 1520 1976 2470 2612 3265 3952 4940 5224 6530 8489 9880 10448 12407 13060 16978 19760 24814 26120 33956 42445 49628 52240 62035 67912 84890 99256 124070 135824 161291 169780 198512 248140 322582 339560 496280 645164 679120 806455 992560 1290328 1612910 2580656 3225820 6451640 12903280