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2074533120 = 283451117107
BaseRepresentation
bin111101110100110…
…1101110100000000
312100120121012110000
41323221231310000
513222040024440
6541504240000
7102260145342
oct17351556400
95316535400
102074533120
11975024490
1249a910000
13270a422ba
1415973b292
15c21d6730
hex7ba6dd00

2074533120 has 720 divisors, whose sum is σ = 8654361408. Its totient is φ = 468910080.

The previous prime is 2074533101. The next prime is 2074533121. The reversal of 2074533120 is 213354702.

2074533120 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 533 + 120 = 666.

2074533120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074533121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19388107 + ... + 19388213.

Almost surely, 22074533120 is an apocalyptic number.

2074533120 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 2074533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327180704).

2074533120 is an abundant number, since it is smaller than the sum of its proper divisors (6579828288).

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

2074533120 is a wasteful number, since it uses less digits than its factorization.

2074533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2074533120 is about 45547.0429336527. The cubic root of 2074533120 is about 1275.3815328770.

Adding to 2074533120 its reverse (213354702), we get a palindrome (2287887822).

The spelling of 2074533120 in words is "two billion, seventy-four million, five hundred thirty-three thousand, one hundred twenty".