Search a number
-
+
12031000 = 235353227
BaseRepresentation
bin101101111001…
…010000011000
3211122020102121
4231321100120
511034443000
61105511024
7204155542
oct55712030
924566377
1012031000
116878083
124042474
132653147
141852692
1510c9b1a
hexb79418

12031000 has 64 divisors (see below), whose sum is σ = 28810080. Its totient is φ = 4700800.

The previous prime is 12030983. The next prime is 12031003. The reversal of 12031000 is 13021.

It is a super-2 number, since 2×120310002 = 289489922000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52887 + ... + 53113.

Almost surely, 212031000 is an apocalyptic number.

12031000 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 12031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405040).

12031000 is an abundant number, since it is smaller than the sum of its proper divisors (16779080).

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

12031000 is a wasteful number, since it uses less digits than its factorization.

12031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12031000 is about 3468.5731936922. The cubic root of 12031000 is about 229.1398242206.

Adding to 12031000 its reverse (13021), we get a palindrome (12044021).

The spelling of 12031000 in words is "twelve million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 227 250 265 424 454 500 530 908 1000 1060 1135 1325 1816 2120 2270 2650 4540 5300 5675 6625 9080 10600 11350 12031 13250 22700 24062 26500 28375 45400 48124 53000 56750 60155 96248 113500 120310 227000 240620 300775 481240 601550 1203100 1503875 2406200 3007750 6015500 12031000