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2068416 = 2635719
BaseRepresentation
bin111111000111111000000
310220002100000
413320333000
51012142131
6112200000
723403240
oct7707700
93802300
102068416
111193039
12839000
1357561c
143bbb20
152acce6
hex1f8fc0

2068416 has 168 divisors, whose sum is σ = 7396480. Its totient is φ = 559872.

The previous prime is 2068403. The next prime is 2068421. The reversal of 2068416 is 6148602.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2068416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108855 + ... + 108873.

22068416 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 2068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2068416 is an abundant number, since it is smaller than the sum of its proper divisors (5328064).

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

2068416 is an equidigital number, since it uses as much as digits as its factorization.

2068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2068416 is about 1438.1988735915. The cubic root of 2068416 is about 127.4126737669.

The spelling of 2068416 in words is "two million, sixty-eight thousand, four hundred sixteen".