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36540020 = 22511414051
BaseRepresentation
bin1000101101100…
…0111001110100
32112202102111002
42023120321310
533323240040
63343102432
7622404446
oct213307164
975672432
1036540020
1119698070
12102a1a18
137754a1a
144bd2496
15331ba15
hex22d8e74

36540020 has 48 divisors (see below), whose sum is σ = 85772736. Its totient is φ = 12960000.

The previous prime is 36540017. The next prime is 36540043. The reversal of 36540020 is 2004563.

36540020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 36539974 and 36540001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6995 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (1786932).

Almost surely, 236540020 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 36540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42886368).

36540020 is an abundant number, since it is smaller than the sum of its proper divisors (49232716).

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

36540020 is a wasteful number, since it uses less digits than its factorization.

36540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

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

The square root of 36540020 is about 6044.8341581883. The cubic root of 36540020 is about 331.8355623484.

Adding to 36540020 its reverse (2004563), we get a palindrome (38544583).

The spelling of 36540020 in words is "thirty-six million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4051 4510 8102 9020 16204 20255 40510 44561 81020 89122 166091 178244 222805 332182 445610 664364 830455 891220 1660910 1827001 3321820 3654002 7308004 9135005 18270010 36540020