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12128280 = 2335211479
BaseRepresentation
bin101110010001…
…000000011000
3211211011212120
4232101000120
511101101110
61111541240
7205042263
oct56210030
924734776
1012128280
11693417a
12408a820
1326884c8
141879cda
1510e8870
hexb91018

12128280 has 64 divisors (see below), whose sum is σ = 36633600. Its totient is φ = 3212160.

The previous prime is 12128269. The next prime is 12128329. The reversal of 12128280 is 8282121.

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 12128280.

It is a congruent number.

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, 25081 + ... + 25559.

It is an arithmetic number, because the mean of its divisors is an integer number (572400).

Almost surely, 212128280 is an apocalyptic number.

12128280 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 12128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316800).

12128280 is an abundant number, since it is smaller than the sum of its proper divisors (24505320).

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

12128280 is a wasteful number, since it uses less digits than its factorization.

12128280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12128280 is about 3482.5680180005. The cubic root of 12128280 is about 229.7557583701.

The spelling of 12128280 in words is "twelve million, one hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 479 633 844 958 1055 1266 1437 1688 1916 2110 2395 2532 2874 3165 3832 4220 4790 5064 5748 6330 7185 8440 9580 11496 12660 14370 19160 25320 28740 57480 101069 202138 303207 404276 505345 606414 808552 1010690 1212828 1516035 2021380 2425656 3032070 4042760 6064140 12128280