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36540120 = 2335304501
BaseRepresentation
bin1000101101100…
…0111011011000
32112202102121210
42023120323120
533323240440
63343103120
7622404651
oct213307330
975672553
1036540120
1119698151
12102a1aa0
137754a96
144bd2528
15331ba80
hex22d8ed8

36540120 has 32 divisors (see below), whose sum is σ = 109620720. Its totient is φ = 9744000.

The previous prime is 36540113. The next prime is 36540121. The reversal of 36540120 is 2104563.

It is a happy number.

36540120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×365401202 = 2670360739228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36540121) 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 7 ways as a sum of consecutive naturals, for example, 152131 + ... + 152370.

Almost surely, 236540120 is an apocalyptic number.

36540120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36540120 is an abundant number, since it is smaller than the sum of its proper divisors (73080600).

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

36540120 is a wasteful number, since it uses less digits than its factorization.

36540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304515 (or 304511 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 36540120 is about 6044.8424297082. The cubic root of 36540120 is about 331.8358650624.

Adding to 36540120 its reverse (2104563), we get a palindrome (38644683).

The spelling of 36540120 in words is "thirty-six million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 304501 609002 913503 1218004 1522505 1827006 2436008 3045010 3654012 4567515 6090020 7308024 9135030 12180040 18270060 36540120