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12883260 = 22351383199
BaseRepresentation
bin110001001001…
…010100111100
3220020112111210
4301021110330
511244231020
61140044420
7214335345
oct61112474
926215453
1012883260
1172aa425
124393710
132891040
1419d50cc
1511e73e0
hexc4953c

12883260 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 3117312.

The previous prime is 12883237. The next prime is 12883267. The reversal of 12883260 is 6238821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883267) 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 31 ways as a sum of consecutive naturals, for example, 64641 + ... + 64839.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 212883260 is an apocalyptic number.

12883260 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 12883260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

12883260 is an abundant number, since it is smaller than the sum of its proper divisors (26630340).

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

12883260 is a wasteful number, since it uses less digits than its factorization.

12883260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12883260 is about 3589.3258419932. The cubic root of 12883260 is about 234.4275185419.

The spelling of 12883260 in words is "twelve million, eight hundred eighty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 199 249 260 332 390 398 415 498 597 780 796 830 995 996 1079 1194 1245 1660 1990 2158 2388 2490 2587 2985 3237 3980 4316 4980 5174 5395 5970 6474 7761 10348 10790 11940 12935 12948 15522 16185 16517 21580 25870 31044 32370 33034 38805 49551 51740 64740 66068 77610 82585 99102 155220 165170 198204 214721 247755 330340 429442 495510 644163 858884 991020 1073605 1288326 2147210 2576652 3220815 4294420 6441630 12883260