Search a number
-
+
12104192 = 2947503
BaseRepresentation
bin101110001011…
…001000000000
3211202221211102
4232023020000
511044313232
61111233532
7204612122
oct56131000
924687742
1012104192
116918071
1240788a8
13267a559
141871212
1510e1662
hexb8b200

12104192 has 40 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 5911552.

The previous prime is 12104189. The next prime is 12104201. The reversal of 12104192 is 29140121.

It is a super-2 number, since 2×121041922 = 293022927945728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23813 + ... + 24315.

Almost surely, 212104192 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 12104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

12104192 is an abundant number, since it is smaller than the sum of its proper divisors (12644224).

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

12104192 is an frugal number, since it uses more digits than its factorization.

12104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12104192 is about 3479.1079316399. The cubic root of 12104192 is about 229.6035514430.

The spelling of 12104192 in words is "twelve million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 503 512 752 1006 1504 2012 3008 4024 6016 8048 12032 16096 23641 24064 32192 47282 64384 94564 128768 189128 257536 378256 756512 1513024 3026048 6052096 12104192