Search a number
-
+
12098880 = 263254201
BaseRepresentation
bin101110001001…
…110101000000
3211202200112200
4232021311000
511044131010
61111153200
7204560463
oct56116500
924680480
1012098880
116914082
124075800
132678001
14186d2da
1510decc0
hexb89d40

12098880 has 84 divisors (see below), whose sum is σ = 41625012. Its totient is φ = 3225600.

The previous prime is 12098861. The next prime is 12098903. The reversal of 12098880 is 8889021.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 9884736 = 1488^2 + 3144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 4980.

Almost surely, 212098880 is an apocalyptic number.

12098880 is a gapful number since it is divisible by the number (10) 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 12098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812506).

12098880 is an abundant number, since it is smaller than the sum of its proper divisors (29526132).

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

12098880 is a wasteful number, since it uses less digits than its factorization.

12098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12098880 is about 3478.3444337788. The cubic root of 12098880 is about 229.5699588792.

The spelling of 12098880 in words is "twelve million, ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4201 8402 12603 16804 21005 25206 33608 37809 42010 50412 63015 67216 75618 84020 100824 126030 134432 151236 168040 189045 201648 252060 268864 302472 336080 378090 403296 504120 604944 672160 756180 806592 1008240 1209888 1344320 1512360 2016480 2419776 3024720 4032960 6049440 12098880