Search a number
-
+
12106496 = 28192131
BaseRepresentation
bin101110001011…
…101100000000
3211210001222202
4232023230000
511044401441
61111252332
7204621623
oct56135400
924701882
1012106496
116919876
12407a0a8
13267b60c
141871dba
1510e219b
hexb8bb00

12106496 has 54 divisors (see below), whose sum is σ = 25699212. Its totient is φ = 5690880.

The previous prime is 12106459. The next prime is 12106531. The reversal of 12106496 is 69460121.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92351 + ... + 92481.

Almost surely, 212106496 is an apocalyptic number.

12106496 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 12106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849606).

12106496 is an abundant number, since it is smaller than the sum of its proper divisors (13592716).

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

12106496 is an equidigital number, since it uses as much as digits as its factorization.

12106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12106496 is about 3479.4390352469. The cubic root of 12106496 is about 229.6181186558.

The spelling of 12106496 in words is "twelve million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 256 262 304 361 524 608 722 1048 1216 1444 2096 2432 2489 2888 4192 4864 4978 5776 8384 9956 11552 16768 19912 23104 33536 39824 46208 47291 79648 92416 94582 159296 189164 318592 378328 637184 756656 1513312 3026624 6053248 12106496