Search a number
-
+
12424120 = 2352631181
BaseRepresentation
bin101111011001…
…001110111000
3212101012200121
4233121032320
511140032440
61122143024
7210413632
oct57311670
925335617
1012424120
117016475
1241b1a74
132760067
141915a52
15115634a
hexbd93b8

12424120 has 32 divisors (see below), whose sum is σ = 28084320. Its totient is φ = 4946560.

The previous prime is 12424103. The next prime is 12424123. The reversal of 12424120 is 2142421.

It is a junction number, because it is equal to n+sod(n) for n = 12424094 and 12424103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424123) 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, 9930 + ... + 11110.

It is an arithmetic number, because the mean of its divisors is an integer number (877635).

Almost surely, 212424120 is an apocalyptic number.

12424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424120 is an abundant number, since it is smaller than the sum of its proper divisors (15660200).

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

12424120 is a wasteful number, since it uses less digits than its factorization.

12424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12424120 is about 3524.7865183582. The cubic root of 12424120 is about 231.6088832187.

Adding to 12424120 its reverse (2142421), we get a palindrome (14566541).

It can be divided in two parts, 12424 and 120, that added together give a square (12544 = 1122).

The spelling of 12424120 in words is "twelve million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1181 1315 2104 2362 2630 4724 5260 5905 9448 10520 11810 23620 47240 310603 621206 1242412 1553015 2484824 3106030 6212060 12424120