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12098000 = 245323263
BaseRepresentation
bin101110001001…
…100111010000
3211202122100002
4232021213100
511044114000
61111145132
7204555065
oct56114720
924678302
1012098000
116913452
1240751a8
1326777a5
14186cc6c
1510de8d5
hexb899d0

12098000 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 4611200.

The previous prime is 12097991. The next prime is 12098027. The reversal of 12098000 is 89021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45869 + ... + 46131.

Almost surely, 212098000 is an apocalyptic number.

12098000 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 12098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

12098000 is an abundant number, since it is smaller than the sum of its proper divisors (18542896).

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

12098000 is a wasteful number, since it uses less digits than its factorization.

12098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

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

The square root of 12098000 is about 3478.2179345176. The cubic root of 12098000 is about 229.5643928967.

The spelling of 12098000 in words is "twelve million, ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 263 368 400 460 500 526 575 920 1000 1052 1150 1315 1840 2000 2104 2300 2630 2875 4208 4600 5260 5750 6049 6575 9200 10520 11500 12098 13150 21040 23000 24196 26300 30245 32875 46000 48392 52600 60490 65750 96784 105200 120980 131500 151225 241960 263000 302450 483920 526000 604900 756125 1209800 1512250 2419600 3024500 6049000 12098000