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1071850080 = 25357714493
BaseRepresentation
bin111111111000110…
…010001001100000
32202200212121220010
4333320302021200
54143343200310
6254205244520
735363401230
oct7770621140
92680777803
101071850080
11500038914
1225ab63740
131410a5b22
14a24d1cc0
1564175320
hex3fe32260

1071850080 has 192 divisors, whose sum is σ = 3913878528. Its totient is φ = 241489920.

The previous prime is 1071850067. The next prime is 1071850099. The reversal of 1071850080 is 800581701.

1071850080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10718500802 = 2297725187992012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236314 + ... + 240806.

It is an arithmetic number, because the mean of its divisors is an integer number (20384784).

Almost surely, 21071850080 is an apocalyptic number.

1071850080 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 1071850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956939264).

1071850080 is an abundant number, since it is smaller than the sum of its proper divisors (2842028448).

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

1071850080 is a wasteful number, since it uses less digits than its factorization.

1071850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 1071850080 is about 32739.1215520515. The cubic root of 1071850080 is about 1023.3982772630.

The spelling of 1071850080 in words is "one billion, seventy-one million, eight hundred fifty thousand, eighty".