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12130734 = 237211331
BaseRepresentation
bin101110010001…
…100110101110
3211211022020110
4232101212232
511101140414
61112000450
7205052400
oct56214656
924738213
1012130734
116936000
124090126
132689665
14187ab70
1510e9459
hexb919ae

12130734 has 96 divisors (see below), whose sum is σ = 32044032. Its totient is φ = 3049200.

The previous prime is 12130681. The next prime is 12130739. The reversal of 12130734 is 43703121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12130734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130739) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 391299 + ... + 391329.

It is an arithmetic number, because the mean of its divisors is an integer number (333792).

Almost surely, 212130734 is an apocalyptic number.

12130734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022016).

12130734 is an abundant number, since it is smaller than the sum of its proper divisors (19913298).

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

12130734 is a wasteful number, since it uses less digits than its factorization.

12130734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12130734 is about 3482.9203263928. The cubic root of 12130734 is about 229.7712533567.

Adding to 12130734 its reverse (43703121), we get a palindrome (55833855).

The spelling of 12130734 in words is "twelve million, one hundred thirty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 121 147 154 186 217 231 242 294 341 363 434 462 539 651 682 726 847 1023 1078 1302 1331 1519 1617 1694 2046 2387 2541 2662 3038 3234 3751 3993 4557 4774 5082 5929 7161 7502 7986 9114 9317 11253 11858 14322 16709 17787 18634 22506 26257 27951 33418 35574 41261 50127 52514 55902 65219 78771 82522 100254 123783 130438 157542 183799 195657 247566 288827 367598 391314 551397 577654 866481 1102794 1732962 2021789 4043578 6065367 12130734