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1980080 = 24553467
BaseRepresentation
bin111100011011010110000
310201121011022
413203122300
51001330310
6110235012
722554554
oct7433260
93647138
101980080
111132733
127b5a68
1354435b
14397864
15291a55
hex1e36b0

1980080 has 40 divisors (see below), whose sum is σ = 4700592. Its totient is φ = 775424.

The previous prime is 1980079. The next prime is 1980089. The reversal of 1980080 is 800891.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1980089) 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 7 ways as a sum of consecutive naturals, for example, 4007 + ... + 4473.

21980080 is an apocalyptic number.

1980080 is a gapful number since it is divisible by the number (10) 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 1980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350296).

1980080 is an abundant number, since it is smaller than the sum of its proper divisors (2720512).

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

1980080 is a wasteful number, since it uses less digits than its factorization.

1980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1980080 is about 1407.1531544221. The cubic root of 1980080 is about 125.5724147298.

The spelling of 1980080 in words is "one million, nine hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 467 530 848 934 1060 1868 2120 2335 3736 4240 4670 7472 9340 18680 24751 37360 49502 99004 123755 198008 247510 396016 495020 990040 1980080