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20384118 = 2322353929
BaseRepresentation
bin100110111000…
…0100101110110
31102100121202100
41031300211312
520204242433
62004522530
7335155626
oct115604566
942317670
1020384118
1110562987
1269b0446
1342b9211
1429c8886
151bc9b13
hex1370976

20384118 has 48 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 6369792.

The previous prime is 20384113. The next prime is 20384149. The reversal of 20384118 is 81148302.

It is a junction number, because it is equal to n+sod(n) for n = 20384091 and 20384100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20384113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21478 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 220384118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20384118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

20384118 is an abundant number, since it is smaller than the sum of its proper divisors (26621802).

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

20384118 is a wasteful number, since it uses less digits than its factorization.

20384118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20384118 is about 4514.8774069735. The cubic root of 20384118 is about 273.1685148862.

It can be divided in two parts, 20384 and 118, that added together give a palindrome (20502).

The spelling of 20384118 in words is "twenty million, three hundred eighty-four thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 929 954 1219 1858 2438 2787 3657 5574 7314 8361 10971 16722 21367 21942 42734 49237 64101 98474 128202 147711 192303 295422 384606 443133 886266 1132451 2264902 3397353 6794706 10192059 20384118