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1989730080 = 2532513157677
BaseRepresentation
bin111011010011000…
…1101111100100000
312010200000202112200
41312212031330200
513033332330310
6525234453200
7100210266222
oct16646157440
95120022480
101989730080
11931172728
12476434200
132592bc9a0
1414c384412
15b9a349c0
hex7698df20

1989730080 has 288 divisors, whose sum is σ = 7369702704. Its totient is φ = 485941248.

The previous prime is 1989730073. The next prime is 1989730087. The reversal of 1989730080 is 800379891.

1989730080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1989730073) and next prime (1989730087).

It can be written as a sum of positive squares in 8 ways, for example, as 957778704 + 1031951376 = 30948^2 + 32124^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1989730087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2938702 + ... + 2939378.

Almost surely, 21989730080 is an apocalyptic number.

1989730080 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 1989730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684851352).

1989730080 is an abundant number, since it is smaller than the sum of its proper divisors (5379972624).

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

1989730080 is a wasteful number, since it uses less digits than its factorization.

1989730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1989730080 is about 44606.3905735490. The cubic root of 1989730080 is about 1257.7608000009.

The spelling of 1989730080 in words is "one billion, nine hundred eighty-nine million, seven hundred thirty thousand, eighty".