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12134934 = 23672941
BaseRepresentation
bin101110010010…
…101000010110
3211211112000000
4232102220112
511101304214
61112032130
7205100550
oct56225026
924745000
1012134934
116939179
124092646
13268b546
14187c4d0
1510ea809
hexb92a16

12134934 has 112 divisors (see below), whose sum is σ = 33052320. Its totient is φ = 3265920.

The previous prime is 12134929. The next prime is 12134951. The reversal of 12134934 is 43943121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12134898 and 12134907.

It is a congruent 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 55 ways as a sum of consecutive naturals, for example, 295954 + ... + 295994.

It is an arithmetic number, because the mean of its divisors is an integer number (295110).

Almost surely, 212134934 is an apocalyptic number.

12134934 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 12134934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526160).

12134934 is an abundant number, since it is smaller than the sum of its proper divisors (20917386).

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

12134934 is an equidigital number, since it uses as much as digits as its factorization.

12134934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12134934 is about 3483.5232165151. The cubic root of 12134934 is about 229.7977680455.

The spelling of 12134934 in words is "twelve million, one hundred thirty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 81 82 87 123 126 162 174 189 203 243 246 261 287 369 378 406 486 522 567 574 609 729 738 783 861 1107 1134 1189 1218 1458 1566 1701 1722 1827 2214 2349 2378 2583 3321 3402 3567 3654 4698 5103 5166 5481 6642 7047 7134 7749 8323 9963 10206 10701 10962 14094 15498 16443 16646 19926 21141 21402 23247 24969 29889 32103 32886 42282 46494 49329 49938 59778 64206 69741 74907 96309 98658 139482 147987 149814 192618 209223 224721 288927 295974 418446 449442 577854 674163 866781 1348326 1733562 2022489 4044978 6067467 12134934