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119122080 = 25357112293
BaseRepresentation
bin1110001100110…
…10100010100000
322022011000202220
413012122202200
5220443401310
615453111040
72644343460
oct706324240
9268130686
10119122080
1161272200
1233a88480
131b8aa44c
1411b6bba0
15a6d0670
hex719a8a0

119122080 has 288 divisors, whose sum is σ = 472977792. Its totient is φ = 24668160.

The previous prime is 119122079. The next prime is 119122103. The reversal of 119122080 is 80221911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 119122080.

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, 406414 + ... + 406706.

It is an arithmetic number, because the mean of its divisors is an integer number (1642284).

Almost surely, 2119122080 is an apocalyptic number.

119122080 is a gapful number since it is divisible by the number (10) 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 119122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236488896).

119122080 is an abundant number, since it is smaller than the sum of its proper divisors (353855712).

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

119122080 is a wasteful number, since it uses less digits than its factorization.

119122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 119122080 is about 10914.3062079090. The cubic root of 119122080 is about 492.0366156899.

Adding to 119122080 its reverse (80221911), we get a palindrome (199343991).

Subtracting from 119122080 its reverse (80221911), we obtain a square (38900169 = 62372).

The spelling of 119122080 in words is "one hundred nineteen million, one hundred twenty-two thousand, eighty".