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80006080 = 26571117191
BaseRepresentation
bin1001100010011…
…00101111000000
312120112201201011
410301030233000
5130440143310
611534450304
71661016610
oct461145700
9176481634
1080006080
1141185830
1222963994
131376309b
14a8a8a40
15705578a
hex4c4cbc0

80006080 has 224 divisors, whose sum is σ = 252813312. Its totient is φ = 23347200.

The previous prime is 80006051. The next prime is 80006111. The reversal of 80006080 is 8060008.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 418785 + ... + 418975.

Almost surely, 280006080 is an apocalyptic number.

80006080 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 80006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126406656).

80006080 is an abundant number, since it is smaller than the sum of its proper divisors (172807232).

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

80006080 is a wasteful number, since it uses less digits than its factorization.

80006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 80006080 is about 8944.6117858742. The cubic root of 80006080 is about 430.8978535323.

Adding to 80006080 its reverse (8060008), we get a palindrome (88066088).

The spelling of 80006080 in words is "eighty million, six thousand, eighty".