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12098680 = 2351131887
BaseRepresentation
bin101110001001…
…110001111000
3211202200021021
4232021301320
511044124210
61111152224
7204560056
oct56116170
924680237
1012098680
116913a10
124075674
132677ba9
14186d1d6
1510debda
hexb89c78

12098680 has 64 divisors (see below), whose sum is σ = 30689280. Its totient is φ = 4252800.

The previous prime is 12098641. The next prime is 12098683. The reversal of 12098680 is 8689021.

12098680 = T161 + T162 + ... + T424.

12098680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12098683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13197 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (479520).

Almost surely, 212098680 is an apocalyptic number.

12098680 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 12098680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344640).

12098680 is an abundant number, since it is smaller than the sum of its proper divisors (18590600).

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

12098680 is a wasteful number, since it uses less digits than its factorization.

12098680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12098680 is about 3478.3156843507. The cubic root of 12098680 is about 229.5686939069.

It can be divided in two parts, 1209 and 8680, that added together give a palindrome (9889).

The spelling of 12098680 in words is "twelve million, ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 887 1240 1364 1705 1774 2728 3410 3548 4435 6820 7096 8870 9757 13640 17740 19514 27497 35480 39028 48785 54994 78056 97570 109988 137485 195140 219976 274970 302467 390280 549940 604934 1099880 1209868 1512335 2419736 3024670 6049340 12098680