Search a number
-
+
12270000 = 24354409
BaseRepresentation
bin101110110011…
…100110110000
3212002101021110
4232303212300
511120120000
61114553320
7206202411
oct56634660
925071243
1012270000
116a206a6
124138840
132707b72
1418b5808
151125850
hexbb39b0

12270000 has 100 divisors (see below), whose sum is σ = 39706040. Its totient is φ = 3264000.

The previous prime is 12269989. The next prime is 12270047. The reversal of 12270000 is 7221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29796 + ... + 30204.

Almost surely, 212270000 is an apocalyptic number.

12270000 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 12270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853020).

12270000 is an abundant number, since it is smaller than the sum of its proper divisors (27436040).

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

12270000 is an equidigital number, since it uses as much as digits as its factorization.

12270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12270000 is about 3502.8559776274. The cubic root of 12270000 is about 230.6472004392.

Adding to 12270000 its reverse (7221), we get a palindrome (12277221).

It can be divided in two parts, 12 and 270000, that multiplied together give a square (3240000 = 18002).

The spelling of 12270000 in words is "twelve million, two hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 409 500 600 625 750 818 1000 1200 1227 1250 1500 1636 1875 2000 2045 2454 2500 3000 3272 3750 4090 4908 5000 6000 6135 6544 7500 8180 9816 10000 10225 12270 15000 16360 19632 20450 24540 30000 30675 32720 40900 49080 51125 61350 81800 98160 102250 122700 153375 163600 204500 245400 255625 306750 409000 490800 511250 613500 766875 818000 1022500 1227000 1533750 2045000 2454000 3067500 4090000 6135000 12270000