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80000080 = 2451019901
BaseRepresentation
bin1001100010010…
…11010001010000
312120112102110221
410301023101100
5130440000310
611534402424
71660663246
oct461132120
9176472427
1080000080
1141181276
1222960414
1313760434
14a8a6796
157053ada
hex4c4b450

80000080 has 40 divisors (see below), whose sum is σ = 187860744. Its totient is φ = 31680000.

The previous prime is 80000069. The next prime is 80000083. The reversal of 80000080 is 8000008.

It can be written as a sum of positive squares in 4 ways, for example, as 49617936 + 30382144 = 7044^2 + 5512^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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 (80000083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130 + ... + 13030.

Almost surely, 280000080 is an apocalyptic number.

80000080 is a gapful number since it is divisible by the number (80) 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 80000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93930372).

80000080 is an abundant number, since it is smaller than the sum of its proper divisors (107860664).

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

80000080 is a wasteful number, since it uses less digits than its factorization.

80000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10015 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 80000080 is about 8944.2763821340. The cubic root of 80000080 is about 430.8870816353.

80000080 divided by its sum of digits (16) gives a palindrome (5000005).

Adding to 80000080 its reverse (8000008), we get a palindrome (88000088).

It can be divided in two parts, 800000 and 80, that multiplied together give a 6-th power (64000000 = 206).

The spelling of 80000080 in words is "eighty million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 9901 19802 39604 49505 79208 99010 158416 198020 396040 792080 1000001 2000002 4000004 5000005 8000008 10000010 16000016 20000020 40000040 80000080