Base | Representation |
---|---|
bin | 1000110011110… |
… | …0101110000110 |
3 | 2120112012022200 |
4 | 2030330232012 |
5 | 33424330440 |
6 | 3355535330 |
7 | 626026440 |
oct | 214745606 |
9 | 76465280 |
10 | 36948870 |
11 | 19947262 |
12 | 1045a546 |
13 | 7868b4a |
14 | 4c9b490 |
15 | 339cc30 |
hex | 233cb86 |
36948870 has 96 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 8375616.
The previous prime is 36948827. The next prime is 36948883. The reversal of 36948870 is 7884963.
It is a happy number.
36948870 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 (45).
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 47 ways as a sum of consecutive naturals, for example, 140359 + ... + 140621.
It is an arithmetic number, because the mean of its divisors is an integer number (1153152).
It is a vampire number, since it can be written as 4683 ⋅ 7890 (with its own digits).
Almost surely, 236948870 is an apocalyptic number.
36948870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 36948870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).
36948870 is an abundant number, since it is smaller than the sum of its proper divisors (73753722).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36948870 is a wasteful number, since it uses less digits than its factorization.
36948870 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 506 (or 503 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 36948870 is about 6078.5582172091. The cubic root of 36948870 is about 333.0686220617.
The spelling of 36948870 in words is "thirty-six million, nine hundred forty-eight thousand, eight hundred seventy".
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