Base | Representation |
---|---|
bin | 1000110110110… |
… | …0100101101100 |
3 | 2120220011021112 |
4 | 2031230211230 |
5 | 34002114230 |
6 | 3404051152 |
7 | 630504200 |
oct | 215544554 |
9 | 76804245 |
10 | 37144940 |
11 | 19a705a8 |
12 | 10533ab8 |
13 | 7907171 |
14 | 4d0cb00 |
15 | 33dad95 |
hex | 236c96c |
37144940 has 72 divisors (see below), whose sum is σ = 93940560. Its totient is φ = 12286848.
The previous prime is 37144937. The next prime is 37144957. The reversal of 37144940 is 4944173.
It is a happy number.
37144940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 37144897 and 37144906.
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 23 ways as a sum of consecutive naturals, for example, 27767 + ... + 29073.
It is an arithmetic number, because the mean of its divisors is an integer number (1304730).
Almost surely, 237144940 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 37144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970280).
37144940 is an abundant number, since it is smaller than the sum of its proper divisors (56795620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37144940 is a wasteful number, since it uses less digits than its factorization.
37144940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 32.
The square root of 37144940 is about 6094.6648800406. The cubic root of 37144940 is about 333.6567283677.
The spelling of 37144940 in words is "thirty-seven million, one hundred forty-four thousand, nine hundred forty".
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