Search a number
-
+
12100844 = 2272107577
BaseRepresentation
bin101110001010…
…010011101100
3211202210020102
4232022103230
511044211334
61111210232
7204566300
oct56122354
924683212
1012100844
1169155a8
124076978
132678b82
14186dd00
1510e067e
hexb8a4ec

12100844 has 36 divisors (see below), whose sum is σ = 24907176. Its totient is φ = 5128704.

The previous prime is 12100843. The next prime is 12100849. The reversal of 12100844 is 44800121.

12100844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12100843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20684 + ... + 21260.

It is an arithmetic number, because the mean of its divisors is an integer number (691866).

Almost surely, 212100844 is an apocalyptic number.

12100844 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 12100844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453588).

12100844 is an abundant number, since it is smaller than the sum of its proper divisors (12806332).

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

12100844 is a wasteful number, since it uses less digits than its factorization.

12100844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12100844 is about 3478.6267405400. The cubic root of 12100844 is about 229.5823801668.

Adding to 12100844 its reverse (44800121), we get a palindrome (56900965).

The spelling of 12100844 in words is "twelve million, one hundred thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 577 749 1154 1498 2308 2996 4039 5243 8078 10486 16156 20972 28273 56546 61739 113092 123478 246956 432173 864346 1728692 3025211 6050422 12100844