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2065416 = 233412099
BaseRepresentation
bin111111000010000001000
310212221012220
413320100020
51012043131
6112134040
723361423
oct7702010
93787186
102065416
111190861
12837320
13574152
143ba9ba
152abe96
hex1f8408

2065416 has 32 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 671360.

The previous prime is 2065411. The next prime is 2065417. The reversal of 2065416 is 6145602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2065411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (165375).

22065416 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 2065416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646000).

2065416 is an abundant number, since it is smaller than the sum of its proper divisors (3226584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2065416 is a wasteful number, since it uses less digits than its factorization.

2065416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2065416 is about 1437.1555239430. The cubic root of 2065416 is about 127.3510448090.

The spelling of 2065416 in words is "two million, sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2099 4198 6297 8396 12594 16792 25188 50376 86059 172118 258177 344236 516354 688472 1032708 2065416