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12131504 = 2471143229
BaseRepresentation
bin101110010001…
…110010110000
3211211100021222
4232101302300
511101202004
61112004212
7205054550
oct56216260
924740258
1012131504
116936640
124090668
132689b08
14187b160
1510e97be
hexb91cb0

12131504 has 80 divisors (see below), whose sum is σ = 30117120. Its totient is φ = 4596480.

The previous prime is 12131473. The next prime is 12131507. The reversal of 12131504 is 40513121.

It is not an unprimeable number, because it can be changed into a prime (12131507) 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 15 ways as a sum of consecutive naturals, for example, 52862 + ... + 53090.

It is an arithmetic number, because the mean of its divisors is an integer number (376464).

Almost surely, 212131504 is an apocalyptic number.

12131504 is a gapful number since it is divisible by the number (14) 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 12131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058560).

12131504 is an abundant number, since it is smaller than the sum of its proper divisors (17985616).

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

12131504 is a wasteful number, since it uses less digits than its factorization.

12131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12131504 is about 3483.0308640608. The cubic root of 12131504 is about 229.7761148410.

Adding to 12131504 its reverse (40513121), we get a palindrome (52644625).

The spelling of 12131504 in words is "twelve million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 229 301 308 344 458 473 602 616 688 916 946 1204 1232 1603 1832 1892 2408 2519 3206 3311 3664 3784 4816 5038 6412 6622 7568 9847 10076 12824 13244 17633 19694 20152 25648 26488 35266 39388 40304 52976 68929 70532 78776 108317 137858 141064 157552 216634 275716 282128 433268 551432 758219 866536 1102864 1516438 1733072 3032876 6065752 12131504