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84960080 = 2451062001
BaseRepresentation
bin1010001000001…
…10001101010000
312220212102022122
411010012031100
5133222210310
612232553412
72051102012
oct504061520
9186772278
1084960080
1143a59847
1224552868
13147a8c4a
14b3d81b2
1576d3555
hex5106350

84960080 has 20 divisors (see below), whose sum is σ = 197532372. Its totient is φ = 33984000.

The previous prime is 84960061. The next prime is 84960097. The reversal of 84960080 is 8006948.

It can be written as a sum of positive squares in 2 ways, for example, as 49056016 + 35904064 = 7004^2 + 5992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 84960080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530921 + ... + 531080.

Almost surely, 284960080 is an apocalyptic number.

84960080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84960080 is an abundant number, since it is smaller than the sum of its proper divisors (112572292).

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

84960080 is a wasteful number, since it uses less digits than its factorization.

84960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062014 (or 1062008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 84960080 is about 9217.3792370717. The cubic root of 84960080 is about 439.6141245000.

The spelling of 84960080 in words is "eighty-four million, nine hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1062001 2124002 4248004 5310005 8496008 10620010 16992016 21240020 42480040 84960080