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12534300 = 22325219733
BaseRepresentation
bin101111110100…
…001000011100
3212120210211100
4233310020130
511202044200
61124353100
7211353102
oct57641034
925523740
1012534300
117091229
124245790
13279b25c
141943c72
151178d00
hexbf421c

12534300 has 108 divisors (see below), whose sum is σ = 41412280. Its totient is φ = 3162240.

The previous prime is 12534283. The next prime is 12534307. The reversal of 12534300 is 343521.

12534300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16734 + ... + 17466.

Almost surely, 212534300 is an apocalyptic number.

12534300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706140).

12534300 is an abundant number, since it is smaller than the sum of its proper divisors (28877980).

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

12534300 is a wasteful number, since it uses less digits than its factorization.

12534300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12534300 is about 3540.3813353931. The cubic root of 12534300 is about 232.2915231442.

Adding to 12534300 its reverse (343521), we get a palindrome (12877821).

The spelling of 12534300 in words is "twelve million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 733 855 900 950 1140 1425 1466 1710 1900 2199 2850 2932 3420 3665 4275 4398 5700 6597 7330 8550 8796 10995 13194 13927 14660 17100 18325 21990 26388 27854 32985 36650 41781 43980 54975 55708 65970 69635 73300 83562 109950 125343 131940 139270 164925 167124 208905 219900 250686 278540 329850 348175 417810 501372 626715 659700 696350 835620 1044525 1253430 1392700 2089050 2506860 3133575 4178100 6267150 12534300