Search a number
-
+
13124124 = 22321329967
BaseRepresentation
bin110010000100…
…001000011100
3220200202220200
4302010020130
511324432444
61145143500
7216360516
oct62041034
926622820
1013124124
117454392
12448ab90
132946870
141a58bb6
151243969
hexc8421c

13124124 has 72 divisors (see below), whose sum is σ = 36996960. Its totient is φ = 3894912.

The previous prime is 13124107. The next prime is 13124131. The reversal of 13124124 is 42142131.

It is a super-3 number, since 3×131241243 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13124097 and 13124106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13089 + ... + 14055.

Almost surely, 213124124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498480).

13124124 is an abundant number, since it is smaller than the sum of its proper divisors (23872836).

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

13124124 is a wasteful number, since it uses less digits than its factorization.

13124124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13124124 is about 3622.7232850440. The cubic root of 13124124 is about 235.8794510261.

Adding to 13124124 its reverse (42142131), we get a palindrome (55266255).

The spelling of 13124124 in words is "thirteen million, one hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 967 1044 1131 1508 1934 2262 2901 3393 3868 4524 5802 6786 8703 11604 12571 13572 17406 25142 28043 34812 37713 50284 56086 75426 84129 112172 113139 150852 168258 226278 252387 336516 364559 452556 504774 729118 1009548 1093677 1458236 2187354 3281031 4374708 6562062 13124124