Base | Representation |
---|---|
bin | 1111000001001101110100 |
3 | 21102000202000 |
4 | 33001031310 |
5 | 2001442030 |
6 | 220215300 |
7 | 45315354 |
oct | 17011564 |
9 | 7360660 |
10 | 3937140 |
11 | 224a039 |
12 | 139a530 |
13 | a7b08c |
14 | 746b64 |
15 | 52b860 |
hex | 3c1374 |
3937140 has 96 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 1001088.
The previous prime is 3937139. The next prime is 3937147. The reversal of 3937140 is 417393.
3937140 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 (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3937147) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 12262 + ... + 12578.
It is an arithmetic number, because the mean of its divisors is an integer number (133560).
Almost surely, 23937140 is an apocalyptic number.
3937140 is a gapful number since it is divisible by the number (30) 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 3937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).
3937140 is an abundant number, since it is smaller than the sum of its proper divisors (8884620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3937140 is a wasteful number, since it uses less digits than its factorization.
3937140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 350 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 3937140 is about 1984.2227697514. Note that the first 3 decimals coincide. The cubic root of 3937140 is about 157.9041773303.
The spelling of 3937140 in words is "three million, nine hundred thirty-seven thousand, one hundred forty".
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