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987115392 = 273231131211
BaseRepresentation
bin111010110101100…
…010111110000000
32112210102122202100
4322311202332000
54010200143032
6241541150400
733314225304
oct7265427600
92483378670
10987115392
1146722344a
122366bb400
13129678663
1495155d04
155b9d897c
hex3ad62f80

987115392 has 192 divisors, whose sum is σ = 2968542720. Its totient is φ = 314496000.

The previous prime is 987115391. The next prime is 987115429. The reversal of 987115392 is 293511789.

987115392 is digitally balanced in base 2, 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 (192).

Its product of digits (136080) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987115391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4678167 + ... + 4678377.

It is an arithmetic number, because the mean of its divisors is an integer number (15461160).

Almost surely, 2987115392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484271360).

987115392 is an abundant number, since it is smaller than the sum of its proper divisors (1981427328).

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

987115392 is a wasteful number, since it uses less digits than its factorization.

987115392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 987115392 is about 31418.3925750507. The cubic root of 987115392 is about 995.6865515812.

The spelling of 987115392 in words is "nine hundred eighty-seven million, one hundred fifteen thousand, three hundred ninety-two".