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1989066240 = 2933574111
BaseRepresentation
bin111011010001110…
…1011111000000000
312010121210000221000
41312203223320000
513033200104430
6525212332000
7100201532640
oct16643537000
95117700830
101989066240
119308599a7
12476174000
13259119795
1414c250520
15b9952e60
hex768ebe00

1989066240 has 320 divisors, whose sum is σ = 8076625920. Its totient is φ = 454533120.

The previous prime is 1989066227. The next prime is 1989066257. The reversal of 1989066240 is 426609891.

It is a happy number.

1989066240 is a `hidden beast` number, since 19 + 8 + 9 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 481785 + ... + 485895.

It is an arithmetic number, because the mean of its divisors is an integer number (25239456).

Almost surely, 21989066240 is an apocalyptic number.

1989066240 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 1989066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038312960).

1989066240 is an abundant number, since it is smaller than the sum of its proper divisors (6087559680).

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

1989066240 is an equidigital number, since it uses as much as digits as its factorization.

1989066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1989066240 is about 44598.9488665372. The cubic root of 1989066240 is about 1257.6209075249.

The spelling of 1989066240 in words is "one billion, nine hundred eighty-nine million, sixty-six thousand, two hundred forty".