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36540032 = 27285469
BaseRepresentation
bin1000101101100…
…0111010000000
32112202102111112
42023120322000
533323240112
63343102452
7622404464
oct213307200
975672445
1036540032
1119698081
12102a1a28
137754a29
144bd24a4
15331ba22
hex22d8e80

36540032 has 16 divisors (see below), whose sum is σ = 72794850. Its totient is φ = 18269952.

The previous prime is 36540017. The next prime is 36540043. The reversal of 36540032 is 23004563.

It can be written as a sum of positive squares in only one way, i.e., 31629376 + 4910656 = 5624^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×365400322 = 2670347877122048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142607 + ... + 142862.

Almost surely, 236540032 is an apocalyptic number.

36540032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36540032 is a deficient number, since it is larger than the sum of its proper divisors (36254818).

36540032 is an equidigital number, since it uses as much as digits as its factorization.

36540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285483 (or 285471 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 36540032 is about 6044.8351507713. The cubic root of 36540032 is about 331.8355986741.

Adding to 36540032 its reverse (23004563), we get a palindrome (59544595).

The spelling of 36540032 in words is "thirty-six million, five hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 285469 570938 1141876 2283752 4567504 9135008 18270016 36540032