Search a number
-
+
12415304200 = 2352138953653
BaseRepresentation
bin10111001000000001…
…01000001000001000
31012001020120210121111
423210000220020020
5200411304213300
65411543020104
7616443226105
oct134400501010
935036523544
1012415304200
1152a112a892
1224a5a3a634
13122b204060
1485ac47aac
154c9e589ba
hex2e4028208

12415304200 has 96 divisors (see below), whose sum is σ = 31435878600. Its totient is φ = 4532520960.

The previous prime is 12415304189. The next prime is 12415304207. The reversal of 12415304200 is 240351421.

It can be written as a sum of positive squares in 12 ways, for example, as 1687730724 + 10727573476 = 41082^2 + 103574^2 .

It is not an unprimeable number, because it can be changed into a prime (12415304207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204574 + ... + 258226.

Almost surely, 212415304200 is an apocalyptic number.

12415304200 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 12415304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717939300).

12415304200 is an abundant number, since it is smaller than the sum of its proper divisors (19020574400).

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

12415304200 is a wasteful number, since it uses less digits than its factorization.

12415304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53771 (or 53762 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12415304200 its reverse (240351421), we get a palindrome (12655655621).

The spelling of 12415304200 in words is "twelve billion, four hundred fifteen million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 650 712 890 1157 1300 1780 2225 2314 2600 3560 4450 4628 5785 8900 9256 11570 17800 23140 28925 46280 53653 57850 107306 115700 214612 231400 268265 429224 536530 697489 1073060 1341325 1394978 2146120 2682650 2789956 3487445 4775117 5365300 5579912 6974890 9550234 10730600 13949780 17437225 19100468 23875585 27899560 34874450 38200936 47751170 62076521 69748900 95502340 119377925 124153042 139497800 191004680 238755850 248306084 310382605 477511700 496612168 620765210 955023400 1241530420 1551913025 2483060840 3103826050 6207652100 12415304200