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2066416 = 241159199
BaseRepresentation
bin111111000011111110000
310212222120221
413320133300
51012111131
6112142424
723364352
oct7703760
93788527
102066416
111191590
12837a14
13574741
143bb0d2
152ac411
hex1f87f0

2066416 has 40 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 918720.

The previous prime is 2066399. The next prime is 2066419. The reversal of 2066416 is 6146602.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066419) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10285 + ... + 10483.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

22066416 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 2066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

2066416 is an abundant number, since it is smaller than the sum of its proper divisors (2397584).

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

2066416 is a wasteful number, since it uses less digits than its factorization.

2066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2066416 is about 1437.5033913003. The cubic root of 2066416 is about 127.3715944218.

The spelling of 2066416 in words is "two million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 199 236 398 472 649 796 944 1298 1592 2189 2596 3184 4378 5192 8756 10384 11741 17512 23482 35024 46964 93928 129151 187856 258302 516604 1033208 2066416