Search a number
-
+
20124324 = 22321189571
BaseRepresentation
bin100110011000…
…1001010100100
31101212102101100
41030301022210
520122434244
61555200100
7333024333
oct114611244
941772340
1020124324
11103a5780
1268a6030
134227bac
14295bd1a
151b77b69
hex13312a4

20124324 has 72 divisors (see below), whose sum is σ = 56216160. Its totient is φ = 6019200.

The previous prime is 20124323. The next prime is 20124329. The reversal of 20124324 is 42342102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20124297 and 20124306.

It is not an unprimeable number, because it can be changed into a prime (20124323) 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, 34959 + ... + 35529.

It is an arithmetic number, because the mean of its divisors is an integer number (780780).

Almost surely, 220124324 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 20124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108080).

20124324 is an abundant number, since it is smaller than the sum of its proper divisors (36091836).

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

20124324 is a wasteful number, since it uses less digits than its factorization.

20124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20124324 is about 4486.0142665845. The cubic root of 20124324 is about 272.0030456695.

Adding to 20124324 its reverse (42342102), we get a palindrome (62466426).

It can be divided in two parts, 2012 and 4324, that added together give a palindrome (6336).

The spelling of 20124324 in words is "twenty million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 571 801 979 1068 1142 1602 1713 1958 2284 2937 3204 3426 3916 5139 5874 6281 6852 8811 10278 11748 12562 17622 18843 20556 25124 35244 37686 50819 56529 75372 101638 113058 152457 203276 226116 304914 457371 559009 609828 914742 1118018 1677027 1829484 2236036 3354054 5031081 6708108 10062162 20124324