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36054020 = 22519791201
BaseRepresentation
bin1000100110001…
…0010000000100
32111211201211002
42021202100010
533212212040
63324432432
7615311522
oct211422004
974751732
1036054020
1119395a12
12100a8718
137614752
144b07312
153272a15
hex2262404

36054020 has 48 divisors (see below), whose sum is σ = 80774400. Its totient is φ = 13478400.

The previous prime is 36053993. The next prime is 36054049. The reversal of 36054020 is 2045063.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36053983 and 36054001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29420 + ... + 30620.

It is an arithmetic number, because the mean of its divisors is an integer number (1682800).

Almost surely, 236054020 is an apocalyptic number.

It is a pronic number, being equal to 6004×6005.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40387200).

36054020 is an abundant number, since it is smaller than the sum of its proper divisors (44720380).

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

36054020 is a wasteful number, since it uses less digits than its factorization.

36054020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 36054020 is about 6004.4999791823. The cubic root of 36054020 is about 330.3577998582.

Adding to 36054020 its reverse (2045063), we get a palindrome (38099083).

The spelling of 36054020 in words is "thirty-six million, fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1201 1501 1580 2402 3002 4804 6004 6005 7505 12010 15010 22819 24020 30020 45638 91276 94879 114095 189758 228190 379516 456380 474395 948790 1802701 1897580 3605402 7210804 9013505 18027010 36054020