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12531834 = 234743257
BaseRepresentation
bin101111110011…
…100001111010
3212120200110000
4233303201322
511202004314
61124333430
7211342650
oct57634172
925520400
1012531834
11708a397
124244276
13279a0b3
141942dd0
151178209
hexbf387a

12531834 has 80 divisors (see below), whose sum is σ = 32966208. Its totient is φ = 3483648.

The previous prime is 12531833. The next prime is 12531851. The reversal of 12531834 is 43813521.

It is a happy number.

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 = 12531798 and 12531807.

It is not an unprimeable number, because it can be changed into a prime (12531833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48634 + ... + 48890.

It is a vampire number, since it can be written as 23135418 (with its own digits).

Almost surely, 212531834 is an apocalyptic number.

12531834 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 12531834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483104).

12531834 is an abundant number, since it is smaller than the sum of its proper divisors (20434374).

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

12531834 is a wasteful number, since it uses less digits than its factorization.

12531834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12531834 is about 3540.0330506932. The cubic root of 12531834 is about 232.2762884558.

The spelling of 12531834 in words is "twelve million, five hundred thirty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 257 258 301 378 387 514 567 602 771 774 903 1134 1161 1542 1799 1806 2313 2322 2709 3483 3598 4626 5397 5418 6939 6966 8127 10794 11051 13878 16191 16254 20817 22102 24381 32382 33153 41634 48573 48762 66306 77357 97146 99459 145719 154714 198918 232071 291438 298377 464142 596754 696213 895131 1392426 1790262 2088639 4177278 6265917 12531834