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13198374 = 2327312109
BaseRepresentation
bin110010010110…
…010000100110
3220211112202200
4302112100212
511334321444
61150515330
7220120140
oct62262046
926745680
1013198374
1174a5152
124505b46
1329715b7
141a77c90
15125a969
hexc96426

13198374 has 72 divisors (see below), whose sum is σ = 34079760. Its totient is φ = 3615840.

The previous prime is 13198373. The next prime is 13198379. The reversal of 13198374 is 47389131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121032 + ... + 121140.

It is an arithmetic number, because the mean of its divisors is an integer number (473330).

Almost surely, 213198374 is an apocalyptic number.

13198374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13198374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039880).

13198374 is an abundant number, since it is smaller than the sum of its proper divisors (20881386).

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

13198374 is a wasteful number, since it uses less digits than its factorization.

13198374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13198374 is about 3632.9566471402. The cubic root of 13198374 is about 236.3234457126.

The spelling of 13198374 in words is "thirteen million, one hundred ninety-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 109 126 186 217 218 279 327 434 558 651 654 763 961 981 1302 1526 1922 1953 1962 2289 2883 3379 3906 4578 5766 6727 6758 6867 8649 10137 13454 13734 17298 20181 20274 23653 30411 40362 47306 60543 60822 70959 104749 121086 141918 209498 212877 314247 425754 628494 733243 942741 1466486 1885482 2199729 4399458 6599187 13198374