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12098416 = 2411531297
BaseRepresentation
bin101110001001…
…101101110000
3211202122220111
4232021231300
511044122131
61111151104
7204556231
oct56115560
924678814
1012098416
1169137a0
124075494
132677a35
14186d088
1510deab1
hexb89b70

12098416 has 40 divisors (see below), whose sum is σ = 26074224. Its totient is φ = 5391360.

The previous prime is 12098413. The next prime is 12098447. The reversal of 12098416 is 61489021.

12098416 = 1932 + 1942 + ... + 3512.

It is a happy number.

12098416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12098413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8680 + ... + 9976.

Almost surely, 212098416 is an apocalyptic number.

12098416 is a gapful number since it is divisible by the number (16) 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 12098416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037112).

12098416 is an abundant number, since it is smaller than the sum of its proper divisors (13975808).

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

12098416 is a wasteful number, since it uses less digits than its factorization.

12098416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12098416 is about 3478.2777347417. The cubic root of 12098416 is about 229.5670241221.

The spelling of 12098416 in words is "twelve million, ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1297 2332 2594 4664 5188 9328 10376 14267 20752 28534 57068 68741 114136 137482 228272 274964 549928 756151 1099856 1512302 3024604 6049208 12098416