Search a number
-
+
12098128 = 247109991
BaseRepresentation
bin101110001001…
…101001010000
3211202122111211
4232021221100
511044120003
61111145504
7204555340
oct56115120
924678454
1012098128
116913559
124075294
132677873
14186cd20
1510de96d
hexb89a50

12098128 has 40 divisors (see below), whose sum is σ = 27061760. Its totient is φ = 5132160.

The previous prime is 12098113. The next prime is 12098159. The reversal of 12098128 is 82189021.

It is a happy number.

It is a super-2 number, since 2×120981282 = 292729402208768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12098128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11713 + ... + 12703.

It is an arithmetic number, because the mean of its divisors is an integer number (676544).

Almost surely, 212098128 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 12098128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530880).

12098128 is an abundant number, since it is smaller than the sum of its proper divisors (14963632).

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

12098128 is a wasteful number, since it uses less digits than its factorization.

12098128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12098128 is about 3478.2363346961. The cubic root of 12098128 is about 229.5652025109.

The spelling of 12098128 in words is "twelve million, ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 991 1526 1744 1982 3052 3964 6104 6937 7928 12208 13874 15856 27748 55496 108019 110992 216038 432076 756133 864152 1512266 1728304 3024532 6049064 12098128