Search a number
-
+
80109120 = 26357213131
BaseRepresentation
bin1001100011001…
…01111001000000
312120201222001110
410301211321000
5131001442440
611541003320
71661626200
oct461457100
9176658043
1080109120
1141246193
12229b3540
131379ac60
14a8d4400
157076080
hex4c65e40

80109120 has 336 divisors, whose sum is σ = 321064128. Its totient is φ = 16773120.

The previous prime is 80109119. The next prime is 80109131. The reversal of 80109120 is 2190108.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×801091202 = 12834942214348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 611455 + ... + 611585.

It is an arithmetic number, because the mean of its divisors is an integer number (955548).

Almost surely, 280109120 is an apocalyptic number.

80109120 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 80109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

80109120 is an abundant number, since it is smaller than the sum of its proper divisors (240955008).

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

80109120 is a wasteful number, since it uses less digits than its factorization.

80109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 80109120 is about 8950.3698247614. The cubic root of 80109120 is about 431.0827589279.

Adding to 80109120 its reverse (2190108), we get a palindrome (82299228).

The spelling of 80109120 in words is "eighty million, one hundred nine thousand, one hundred twenty".