Base | Representation |
---|---|
bin | 1110100011101010001000 |
3 | 21011212200000 |
4 | 32203222020 |
5 | 1434103242 |
6 | 213443000 |
7 | 44302401 |
oct | 16435210 |
9 | 7155600 |
10 | 3816072 |
11 | 2177087 |
12 | 1340460 |
13 | a37c40 |
14 | 7149a8 |
15 | 505a4c |
hex | 3a3a88 |
3816072 has 96 divisors (see below), whose sum is σ = 11618880. Its totient is φ = 1166400.
The previous prime is 3816067. The next prime is 3816073. The reversal of 3816072 is 2706183.
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 (3816073) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25197 + ... + 25347.
It is an arithmetic number, because the mean of its divisors is an integer number (121030).
Almost surely, 23816072 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 3816072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809440).
3816072 is an abundant number, since it is smaller than the sum of its proper divisors (7802808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3816072 is a wasteful number, since it uses less digits than its factorization.
3816072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 3816072 is about 1953.4769002985. The cubic root of 3816072 is about 156.2687674524.
It can be divided in two parts, 38 and 16072, that added together give a triangular number (16110 = T179).
The spelling of 3816072 in words is "three million, eight hundred sixteen thousand, seventy-two".
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