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12131532 = 223571783
BaseRepresentation
bin101110010001…
…110011001100
3211211100100000
4232101303030
511101202112
61112004300
7205054620
oct56216314
924740300
1012131532
116936666
124090690
132689b2a
14187b180
1510e97dc
hexb91ccc

12131532 has 72 divisors (see below), whose sum is σ = 36365056. Its totient is φ = 3464208.

The previous prime is 12131513. The next prime is 12131533. The reversal of 12131532 is 23513121.

12131532 is a `hidden beast` number, since 1 + 2 + 131 + 532 = 666.

12131532 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 (12131533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5913 + ... + 7695.

Almost surely, 212131532 is an apocalyptic number.

12131532 is a gapful number since it is divisible by the number (12) 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 12131532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182528).

12131532 is an abundant number, since it is smaller than the sum of its proper divisors (24233524).

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

12131532 is a wasteful number, since it uses less digits than its factorization.

12131532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1795 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12131532 is about 3483.0348835462. The cubic root of 12131532 is about 229.7762916184.

Adding to 12131532 its reverse (23513121), we get a palindrome (35644653).

The spelling of 12131532 in words is "twelve million, one hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 1783 2268 3402 3566 5349 6804 7132 10698 12481 16047 21396 24962 32094 37443 48141 49924 64188 74886 96282 112329 144423 149772 192564 224658 288846 336987 433269 449316 577692 673974 866538 1010961 1347948 1733076 2021922 3032883 4043844 6065766 12131532