Search a number
-
+
13123998 = 233475171
BaseRepresentation
bin110010000100…
…000110011110
3220200202202000
4302010012132
511324431443
61145143130
7216360246
oct62040636
926622660
1013123998
117454288
12448aaa6
1329467a4
141a58b26
1512438d3
hexc8419e

13123998 has 32 divisors (see below), whose sum is σ = 29790720. Its totient is φ = 4280760.

The previous prime is 13123997. The next prime is 13124021. The reversal of 13123998 is 89932131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123991) 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, 48 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (930960).

Almost surely, 213123998 is an apocalyptic number.

13123998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895360).

13123998 is an abundant number, since it is smaller than the sum of its proper divisors (16666722).

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

13123998 is a wasteful number, since it uses less digits than its factorization.

13123998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5223 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13123998 is about 3622.7058947698. The cubic root of 13123998 is about 235.8786961591.

The spelling of 13123998 in words is "thirteen million, one hundred twenty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 5171 10342 15513 31026 46539 93078 139617 243037 279234 486074 729111 1458222 2187333 4374666 6561999 13123998