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2026080 = 25335767
BaseRepresentation
bin111101110101001100000
310210221021000
413232221200
51004313310
6111232000
723135640
oct7565140
93727230
102026080
111164251
12818600
1355c284
143aa520
152a04c0
hex1eea60

2026080 has 192 divisors, whose sum is σ = 8225280. Its totient is φ = 456192.

The previous prime is 2026069. The next prime is 2026081. The reversal of 2026080 is 806202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026081) 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, 30207 + ... + 30273.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

22026080 is an apocalyptic number.

2026080 is a gapful number since it is divisible by the number (20) 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 2026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2026080 is an abundant number, since it is smaller than the sum of its proper divisors (6199200).

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

2026080 is a wasteful number, since it uses less digits than its factorization.

2026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2026080 is about 1423.4043698120. The cubic root of 2026080 is about 126.5373873357.

The spelling of 2026080 in words is "two million, twenty-six thousand, eighty".