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1989250560 = 293251147167
BaseRepresentation
bin111011010010001…
…1000111000000000
312010122010101202200
41312210120320000
513033222004220
6525220313200
7100203231213
oct16644307000
95118111680
101989250560
11930975430
12476242800
1325918264b
1414c29b77a
15b998c890
hex76918e00

1989250560 has 480 divisors, whose sum is σ = 7721505792. Its totient is φ = 469155840.

The previous prime is 1989250559. The next prime is 1989250567. The reversal of 1989250560 is 650529891.

1989250560 is a `hidden beast` number, since 1 + 9 + 89 + 2 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989250567) 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, 11911597 + ... + 11911763.

Almost surely, 21989250560 is an apocalyptic number.

1989250560 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 1989250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

1989250560 is an abundant number, since it is smaller than the sum of its proper divisors (5732255232).

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

1989250560 is a wasteful number, since it uses less digits than its factorization.

1989250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1989250560 is about 44601.0152350818. The cubic root of 1989250560 is about 1257.6597528084.

The spelling of 1989250560 in words is "one billion, nine hundred eighty-nine million, two hundred fifty thousand, five hundred sixty".