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12127434 = 2311192509
BaseRepresentation
bin101110010000…
…110011001010
3211211010201020
4232100303022
511101034214
61111533310
7205036644
oct56206312
924733636
1012127434
116933580
12408a236
132687cc7
141879894
1510e84a9
hexb90cca

12127434 has 48 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 3474720.

The previous prime is 12127433. The next prime is 12127447. The reversal of 12127434 is 43472121.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23572 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (582930).

Almost surely, 212127434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

12127434 is an abundant number, since it is smaller than the sum of its proper divisors (15853206).

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

12127434 is a wasteful number, since it uses less digits than its factorization.

12127434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 12127434 is about 3482.4465537894. The cubic root of 12127434 is about 229.7504160931.

Adding to 12127434 its reverse (43472121), we get a palindrome (55599555).

It can be divided in two parts, 12127 and 434, that added together give a triangular number (12561 = T158).

The spelling of 12127434 in words is "twelve million, one hundred twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 509 627 722 1018 1083 1254 1527 2166 3054 3971 5599 7942 9671 11198 11913 16797 19342 23826 29013 33594 58026 106381 183749 212762 319143 367498 551247 638286 1102494 2021239 4042478 6063717 12127434