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12830280 = 2335313449
BaseRepresentation
bin110000111100…
…011001001000
3220010211211120
4300330121020
511241032110
61134555240
7214025031
oct60743110
926124746
1012830280
117273641
124368b20
132872ba8
1419bda88
1511d6870
hexc3c648

12830280 has 64 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 3310080.

The previous prime is 12830273. The next prime is 12830303. The reversal of 12830280 is 8203821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12830280.

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, 1996 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (621000).

Almost surely, 212830280 is an apocalyptic number.

12830280 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 12830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872000).

12830280 is an abundant number, since it is smaller than the sum of its proper divisors (26913720).

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

12830280 is a wasteful number, since it uses less digits than its factorization.

12830280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12830280 is about 3581.9380229144. The cubic root of 12830280 is about 234.1057305817.

The spelling of 12830280 in words is "twelve million, eight hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3449 3720 6898 10347 13796 17245 20694 27592 34490 41388 51735 68980 82776 103470 106919 137960 206940 213838 320757 413880 427676 534595 641514 855352 1069190 1283028 1603785 2138380 2566056 3207570 4276760 6415140 12830280