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12032130 = 23511192101
BaseRepresentation
bin101101111001…
…100010000010
3211122021222110
4231321202002
511040012010
61105520150
7204162045
oct55714202
924567873
1012032130
116878a10
124043056
132653806
141852c5c
1510ca120
hexb79882

12032130 has 96 divisors (see below), whose sum is σ = 33576768. Its totient is φ = 2736000.

The previous prime is 12032089. The next prime is 12032143. The reversal of 12032130 is 3123021.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 119080 + ... + 119180.

It is an arithmetic number, because the mean of its divisors is an integer number (349758).

Almost surely, 212032130 is an apocalyptic number.

12032130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788384).

12032130 is an abundant number, since it is smaller than the sum of its proper divisors (21544638).

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

12032130 is a wasteful number, since it uses less digits than its factorization.

12032130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12032130 is about 3468.7360810532. The cubic root of 12032130 is about 229.1469979079.

Adding to 12032130 its reverse (3123021), we get a palindrome (15155151).

It can be divided in two parts, 1203 and 2130, that added together give a palindrome (3333).

The spelling of 12032130 in words is "twelve million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 101 110 114 165 190 202 209 285 303 330 361 418 505 570 606 627 722 1010 1045 1083 1111 1254 1515 1805 1919 2090 2166 2222 3030 3135 3333 3610 3838 3971 5415 5555 5757 6270 6666 7942 9595 10830 11110 11514 11913 16665 19190 19855 21109 23826 28785 33330 36461 39710 42218 57570 59565 63327 72922 105545 109383 119130 126654 182305 211090 218766 316635 364610 401071 546915 633270 802142 1093830 1203213 2005355 2406426 4010710 6016065 12032130