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12759390 = 2335743157
BaseRepresentation
bin110000101011…
…000101011110
3220000020121000
4300223011132
511231300030
61133251130
7213311250
oct60530536
926006530
1012759390
117225356
124333aa6
132849847
1419a1cd0
1511c0860
hexc2b15e

12759390 has 128 divisors (see below), whose sum is σ = 40043520. Its totient is φ = 2830464.

The previous prime is 12759389. The next prime is 12759403. The reversal of 12759390 is 9395721.

12759390 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81192 + ... + 81348.

It is an arithmetic number, because the mean of its divisors is an integer number (312840).

Almost surely, 212759390 is an apocalyptic number.

12759390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12759390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021760).

12759390 is an abundant number, since it is smaller than the sum of its proper divisors (27284130).

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

12759390 is a wasteful number, since it uses less digits than its factorization.

12759390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 12759390 is about 3572.0288352700. The cubic root of 12759390 is about 233.6737728893.

The spelling of 12759390 in words is "twelve million, seven hundred fifty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 157 189 210 215 258 270 301 314 315 378 387 430 471 602 630 645 774 785 903 942 945 1099 1161 1290 1413 1505 1570 1806 1890 1935 2198 2322 2355 2709 2826 3010 3297 3870 4239 4515 4710 5418 5495 5805 6594 6751 7065 8127 8478 9030 9891 10990 11610 13502 13545 14130 16254 16485 19782 20253 21195 27090 29673 32970 33755 40506 40635 42390 47257 49455 59346 60759 67510 81270 94514 98910 101265 121518 141771 148365 182277 202530 236285 283542 296730 303795 364554 425313 472570 607590 708855 850626 911385 1275939 1417710 1822770 2126565 2551878 4253130 6379695 12759390