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1073283120 = 2432571316381
BaseRepresentation
bin111111111110010…
…000000000110000
32202210120102122200
4333332100000300
54144230024440
6254300103200
735411520210
oct7776200060
92683512580
101073283120
11500927548
1225b534b00
13141488190
14a2786240
1564359c30
hex3ff90030

1073283120 has 240 divisors, whose sum is σ = 4436507712. Its totient is φ = 226437120.

The previous prime is 1073283119. The next prime is 1073283163. The reversal of 1073283120 is 213823701.

It is a Cunningham number, because it is equal to 1814-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57330 + ... + 73710.

Almost surely, 21073283120 is an apocalyptic number.

1073283120 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 1073283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218253856).

1073283120 is an abundant number, since it is smaller than the sum of its proper divisors (3363224592).

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

1073283120 is a wasteful number, since it uses less digits than its factorization.

1073283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16420 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1073283120 is about 32760.9999847380. Note that the first 4 decimals coincide. The cubic root of 1073283120 is about 1023.8541611560.

The spelling of 1073283120 in words is "one billion, seventy-three million, two hundred eighty-three thousand, one hundred twenty".