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12143104 = 2937641
BaseRepresentation
bin101110010100…
…101000000000
3211211221012121
4232110220000
511102034404
61112134024
7205133431
oct56245000
924757177
1012143104
116944326
124097314
13269218c
141881488
1510ece54
hexb94a00

12143104 has 40 divisors (see below), whose sum is σ = 24957108. Its totient is φ = 5898240.

The previous prime is 12143099. The next prime is 12143107. The reversal of 12143104 is 40134121.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 2408704 = 3120^2 + 1552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12143107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18624 + ... + 19264.

Almost surely, 212143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478554).

12143104 is an abundant number, since it is smaller than the sum of its proper divisors (12814004).

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

12143104 is an frugal number, since it uses more digits than its factorization.

12143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12143104 is about 3484.6956825525. The cubic root of 12143104 is about 229.8493279079.

Adding to 12143104 its reverse (40134121), we get a palindrome (52277225).

The spelling of 12143104 in words is "twelve million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 641 1184 1282 2368 2564 4736 5128 9472 10256 18944 20512 23717 41024 47434 82048 94868 164096 189736 328192 379472 758944 1517888 3035776 6071552 12143104