Search a number
-
+
12141332 = 22717231109
BaseRepresentation
bin101110010100…
…001100010100
3211211211202222
4232110030110
511102010312
61112121512
7205125320
oct56241424
924754688
1012141332
116942a65
124096298
132691428
141880980
1510ec672
hexb94314

12141332 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 4680192.

The previous prime is 12141329. The next prime is 12141341. The reversal of 12141332 is 23314121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12141332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10394 + ... + 11502.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 212141332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

12141332 is an abundant number, since it is smaller than the sum of its proper divisors (14711788).

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

12141332 is a wasteful number, since it uses less digits than its factorization.

12141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 12141332 is about 3484.4414186495. The cubic root of 12141332 is about 229.8381469989.

Adding to 12141332 its reverse (23314121), we get a palindrome (35455453).

The spelling of 12141332 in words is "twelve million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1109 1564 2218 2737 4436 5474 7763 10948 15526 18853 25507 31052 37706 51014 75412 102028 131971 178549 263942 357098 433619 527884 714196 867238 1734476 3035333 6070666 12141332