Search a number
-
+
12873420 = 22325717601
BaseRepresentation
bin110001000110…
…111011001100
3220020001000100
4301012323030
511243422140
61135531100
7214264560
oct61067314
926201010
1012873420
1172a2a9a
124389a90
132889711
1419d16a0
1511e4530
hexc46ecc

12873420 has 144 divisors (see below), whose sum is σ = 47331648. Its totient is φ = 2764800.

The previous prime is 12873409. The next prime is 12873433. The reversal of 12873420 is 2437821.

12873420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21120 + ... + 21720.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 212873420 is an apocalyptic number.

12873420 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 12873420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665824).

12873420 is an abundant number, since it is smaller than the sum of its proper divisors (34458228).

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

12873420 is a wasteful number, since it uses less digits than its factorization.

12873420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12873420 is about 3587.9548492142. The cubic root of 12873420 is about 234.3678195133.

The spelling of 12873420 in words is "twelve million, eight hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 601 612 630 714 765 1020 1071 1190 1202 1260 1428 1530 1785 1803 2142 2380 2404 3005 3060 3570 3606 4207 4284 5355 5409 6010 7140 7212 8414 9015 10217 10710 10818 12020 12621 16828 18030 20434 21035 21420 21636 25242 27045 30651 36060 37863 40868 42070 50484 51085 54090 61302 63105 71519 75726 84140 91953 102170 108180 122604 126210 143038 151452 153255 183906 189315 204340 214557 252420 286076 306510 357595 367812 378630 429114 459765 613020 643671 715190 757260 858228 919530 1072785 1287342 1430380 1839060 2145570 2574684 3218355 4291140 6436710 12873420