| Base | Representation |
|---|---|
| bin | 1000100101101… |
| … | …1111000100000 |
| 3 | 2111210102001000 |
| 4 | 2021123320200 |
| 5 | 33210343221 |
| 6 | 3324112000 |
| 7 | 615142500 |
| oct | 211337040 |
| 9 | 74712030 |
| 10 | 36027936 |
| 11 | 1937835a |
| 12 | 10095600 |
| 13 | 7605909 |
| 14 | 4adba00 |
| 15 | 3269e26 |
| hex | 225be20 |
36027936 has 288 divisors, whose sum is σ = 130999680. Its totient is φ = 9580032.
The previous prime is 36027919. The next prime is 36027967. The reversal of 36027936 is 63972063.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 36027936.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973710 + ... + 973746.
It is an arithmetic number, because the mean of its divisors is an integer number (454860).
Almost surely, 236027936 is an apocalyptic number.
36027936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).
36027936 is an abundant number, since it is smaller than the sum of its proper divisors (94971744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36027936 is a wasteful number, since it uses less digits than its factorization.
36027936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 40824, while the sum is 36.
The square root of 36027936 is about 6002.3275485431. The cubic root of 36027936 is about 330.2781126578.
Adding to 36027936 its reverse (63972063), we get a palindrome (99999999).
It can be divided in two parts, 36027 and 936, that added together give a palindrome (36963).
The spelling of 36027936 in words is "thirty-six million, twenty-seven thousand, nine hundred thirty-six".
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