Search a number
-
+
987338880 = 273251115583
BaseRepresentation
bin111010110110011…
…001100010000000
32112210212000022200
4322312121202000
54010224321010
6241550033200
733316146003
oct7266314200
92483760280
10987338880
11467366350
122367a8800
131297262b8
14951b353a
155ba2ecc0
hex3ad99880

987338880 has 192 divisors, whose sum is σ = 3719589120. Its totient is φ = 239339520.

The previous prime is 987338837. The next prime is 987338881. The reversal of 987338880 is 88833789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (987338881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55569 + ... + 71151.

It is an arithmetic number, because the mean of its divisors is an integer number (19372860).

Almost surely, 2987338880 is an apocalyptic number.

987338880 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 987338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859794560).

987338880 is an abundant number, since it is smaller than the sum of its proper divisors (2732250240).

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

987338880 is a wasteful number, since it uses less digits than its factorization.

987338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 987338880 is about 31421.9490165712. The cubic root of 987338880 is about 995.7616887625.

The spelling of 987338880 in words is "nine hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred eighty".