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12031376 = 247177189
BaseRepresentation
bin101101111001…
…010110010000
3211122020221112
4231321112100
511040001001
61105512452
7204156620
oct55712620
924566845
1012031376
116878395
124042728
132653376
141852880
1510c9cbb
hexb79590

12031376 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 4730880.

The previous prime is 12031373. The next prime is 12031387. The reversal of 12031376 is 67313021.

It is a happy number.

12031376 is nontrivially palindromic in base 3.

12031376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135140 + ... + 135228.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 212031376 is an apocalyptic number.

12031376 is a gapful number since it is divisible by the number (16) 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 12031376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

12031376 is an abundant number, since it is smaller than the sum of its proper divisors (16895344).

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

12031376 is a wasteful number, since it uses less digits than its factorization.

12031376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 12031376 is about 3468.6273942296. The cubic root of 12031376 is about 229.1422112673.

Adding to 12031376 its reverse (67313021), we get a palindrome (79344397).

The spelling of 12031376 in words is "twelve million, thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 89 112 119 136 142 178 238 272 284 356 476 497 568 623 712 952 994 1136 1207 1246 1424 1513 1904 1988 2414 2492 3026 3976 4828 4984 6052 6319 7952 8449 9656 9968 10591 12104 12638 16898 19312 21182 24208 25276 33796 42364 44233 50552 67592 84728 88466 101104 107423 135184 169456 176932 214846 353864 429692 707728 751961 859384 1503922 1718768 3007844 6015688 12031376