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2070880160 = 255174797167
BaseRepresentation
bin111101101101111…
…0001111110100000
312100022201121112012
41323123301332200
513220121131120
6541254052052
7102214122326
oct17333617640
95308647465
102070880160
11972a59a08
1249964a028
1327006369b
14159069d16
15c1c141c5
hex7b6f1fa0

2070880160 has 192 divisors, whose sum is σ = 5377010688. Its totient is φ = 750649344.

The previous prime is 2070880159. The next prime is 2070880223. The reversal of 2070880160 is 610880702.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12400397 + ... + 12400563.

It is an arithmetic number, because the mean of its divisors is an integer number (28005264).

Almost surely, 22070880160 is an apocalyptic number.

2070880160 is a gapful number since it is divisible by the number (20) 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 2070880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688505344).

2070880160 is an abundant number, since it is smaller than the sum of its proper divisors (3306130528).

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

2070880160 is a wasteful number, since it uses less digits than its factorization.

2070880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 2070880160 is about 45506.9243082852. The cubic root of 2070880160 is about 1274.6325041079.

The spelling of 2070880160 in words is "two billion, seventy million, eight hundred eighty thousand, one hundred sixty".