Search a number
-
+
14793198 = 237267751
BaseRepresentation
bin111000011011…
…100111101110
31000211120110020
4320123213232
512241340243
61245023010
7236511600
oct70334756
930746406
1014793198
118394392
124b54a66
1330ac494
141d71170
151473283
hexe1b9ee

14793198 has 48 divisors (see below), whose sum is σ = 34977024. Its totient is φ = 4158000.

The previous prime is 14793157. The next prime is 14793199. The reversal of 14793198 is 89139741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14793199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19323 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (728688).

Almost surely, 214793198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14793198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488512).

14793198 is an abundant number, since it is smaller than the sum of its proper divisors (20183826).

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

14793198 is a wasteful number, since it uses less digits than its factorization.

14793198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 14793198 is about 3846.1926628810. The cubic root of 14793198 is about 245.4825862216.

The spelling of 14793198 in words is "fourteen million, seven hundred ninety-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 751 938 1407 1502 2253 2814 3283 4506 5257 6566 9849 10514 15771 19698 31542 36799 50317 73598 100634 110397 150951 220794 301902 352219 704438 1056657 2113314 2465533 4931066 7396599 14793198