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880020 = 223254889
BaseRepresentation
bin11010110110110010100
31122201011100
43112312110
5211130040
630510100
710323441
oct3266624
91581140
10880020
11551199
12365330
1324a72b
1418c9c8
15125b30
hexd6d94

880020 has 36 divisors (see below), whose sum is σ = 2669940. Its totient is φ = 234624.

The previous prime is 880007. The next prime is 880021. The reversal of 880020 is 20088.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 412164 = 684^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 879975 and 880002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880021) 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 11 ways as a sum of consecutive naturals, for example, 2265 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (74165).

2880020 is an apocalyptic number.

It is an amenable number.

880020 is an abundant number, since it is smaller than the sum of its proper divisors (1789920).

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

880020 is a wasteful number, since it uses less digits than its factorization.

880020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 880020 is about 938.0938119399. The cubic root of 880020 is about 95.8291231085.

The spelling of 880020 in words is "eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4889 9778 14667 19556 24445 29334 44001 48890 58668 73335 88002 97780 146670 176004 220005 293340 440010 880020