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12128340 = 2235767431
BaseRepresentation
bin101110010001…
…000001010100
3211211011221210
4232101001110
511101101330
61111541420
7205042410
oct56210124
924734853
1012128340
116934224
12408a870
132688543
141879d40
1510e88b0
hexb91054

12128340 has 96 divisors (see below), whose sum is σ = 39481344. Its totient is φ = 2724480.

The previous prime is 12128339. The next prime is 12128357. The reversal of 12128340 is 4382121.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 27925 + ... + 28355.

It is an arithmetic number, because the mean of its divisors is an integer number (411264).

Almost surely, 212128340 is an apocalyptic number.

12128340 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 12128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672).

12128340 is an abundant number, since it is smaller than the sum of its proper divisors (27353004).

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

12128340 is a wasteful number, since it uses less digits than its factorization.

12128340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12128340 is about 3482.5766323227. The cubic root of 12128340 is about 229.7561372455.

The spelling of 12128340 in words is "twelve million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 431 469 670 804 862 938 1005 1293 1340 1407 1724 1876 2010 2155 2345 2586 2814 3017 4020 4310 4690 5172 5628 6034 6465 7035 8620 9051 9380 12068 12930 14070 15085 18102 25860 28140 28877 30170 36204 45255 57754 60340 86631 90510 115508 144385 173262 181020 202139 288770 346524 404278 433155 577540 606417 808556 866310 1010695 1212834 1732620 2021390 2425668 3032085 4042780 6064170 12128340