Search a number
-
+
12303200 = 25527133
BaseRepresentation
bin101110111011…
…101101100000
3212011001211002
4232323231200
511122200300
61115411132
7206401250
oct56735540
925131732
1012303200
116a43638
124153aa8
13271a000
1418c3960
1511305d5
hexbbbb60

12303200 has 144 divisors (see below), whose sum is σ = 37185120. Its totient is φ = 3893760.

The previous prime is 12303197. The next prime is 12303209. The reversal of 12303200 is 230321.

Adding to 12303200 its reverse (230321), we get a palindrome (12533521).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303209) 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, 946394 + ... + 946406.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 212303200 is an apocalyptic number.

12303200 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 12303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592560).

12303200 is an abundant number, since it is smaller than the sum of its proper divisors (24881920).

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

12303200 is an equidigital number, since it uses as much as digits as its factorization.

12303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 12303200 is about 3507.5917664403. The cubic root of 12303200 is about 230.8550404531.

The spelling of 12303200 in words is "twelve million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 169 175 182 200 208 224 260 280 325 338 350 364 400 416 455 520 560 650 676 700 728 800 845 910 1040 1120 1183 1300 1352 1400 1456 1690 1820 2080 2197 2275 2366 2600 2704 2800 2912 3380 3640 4225 4394 4550 4732 5200 5408 5600 5915 6760 7280 8450 8788 9100 9464 10400 10985 11830 13520 14560 15379 16900 17576 18200 18928 21970 23660 27040 29575 30758 33800 35152 36400 37856 43940 47320 54925 59150 61516 67600 70304 72800 76895 87880 94640 109850 118300 123032 135200 153790 175760 189280 219700 236600 246064 307580 351520 384475 439400 473200 492128 615160 768950 878800 946400 1230320 1537900 1757600 2460640 3075800 6151600 12303200