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12134070 = 2335133457
BaseRepresentation
bin101110010010…
…011010110110
3211211110211000
4232102122312
511101242240
61112024130
7205065204
oct56223266
924743730
1012134070
116938563
124092046
13268b030
14187c074
1510ea430
hexb926b6

12134070 has 64 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2985984.

The previous prime is 12134069. The next prime is 12134081. The reversal of 12134070 is 7043121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1782 + ... + 5238.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 212134070 is an apocalyptic number.

12134070 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 12134070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

12134070 is an abundant number, since it is smaller than the sum of its proper divisors (22722570).

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

12134070 is a wasteful number, since it uses less digits than its factorization.

12134070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12134070 is about 3483.3992019291. The cubic root of 12134070 is about 229.7923140951.

Adding to 12134070 its reverse (7043121), we get a palindrome (19177191).

It can be divided in two parts, 121 and 34070, that added together give a triangular number (34191 = T261).

The spelling of 12134070 in words is "twelve million, one hundred thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3457 3510 6914 10371 17285 20742 31113 34570 44941 51855 62226 89882 93339 103710 134823 155565 186678 224705 269646 311130 404469 449410 466695 674115 808938 933390 1213407 1348230 2022345 2426814 4044690 6067035 12134070