Search a number
-
+
12150200 = 235279769
BaseRepresentation
bin101110010110…
…010110111000
3211212021221102
4232112112320
511102301300
61112230532
7205163216
oct56262670
924767842
1012150200
116949697
12409b448
13269548a
141883cb6
1511000d5
hexb965b8

12150200 has 48 divisors (see below), whose sum is σ = 28644000. Its totient is φ = 4792320.

The previous prime is 12150181. The next prime is 12150211. The reversal of 12150200 is 205121.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15416 + ... + 16184.

It is an arithmetic number, because the mean of its divisors is an integer number (596750).

Almost surely, 212150200 is an apocalyptic number.

12150200 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 12150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322000).

12150200 is an abundant number, since it is smaller than the sum of its proper divisors (16493800).

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

12150200 is a wasteful number, since it uses less digits than its factorization.

12150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12150200 is about 3485.7137002341. The cubic root of 12150200 is about 229.8940911258.

Adding to 12150200 its reverse (205121), we get a palindrome (12355321).

The spelling of 12150200 in words is "twelve million, one hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 769 790 1538 1580 1975 3076 3160 3845 3950 6152 7690 7900 15380 15800 19225 30760 38450 60751 76900 121502 153800 243004 303755 486008 607510 1215020 1518775 2430040 3037550 6075100 12150200