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987704640 = 2632513233137
BaseRepresentation
bin111010110111110…
…010110101000000
32112211112121001100
4322313302311000
54010323022030
6242001534400
733322231236
oct7267626500
92484477040
10987704640
1146759612a
12236944400
13129823920
149526a956
155baa3360
hex3adf2d40

987704640 has 672 divisors, whose sum is σ = 4047353856. Its totient is φ = 218972160.

The previous prime is 987704639. The next prime is 987704647. The reversal of 987704640 is 46407789.

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 (987704647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26694702 + ... + 26694738.

It is an arithmetic number, because the mean of its divisors is an integer number (6022848).

Almost surely, 2987704640 is an apocalyptic number.

987704640 is a gapful number since it is divisible by the number (90) 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 987704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

987704640 is an abundant number, since it is smaller than the sum of its proper divisors (3059649216).

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

987704640 is a wasteful number, since it uses less digits than its factorization.

987704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 987704640 is about 31427.7686131230. The cubic root of 987704640 is about 995.8846336595.

The spelling of 987704640 in words is "nine hundred eighty-seven million, seven hundred four thousand, six hundred forty".