Search a number
-
+
128895616 = 271317687
BaseRepresentation
bin1111010111011…
…00101010000000
322222112120112201
413223230222000
5230444124431
620442402544
73123410653
oct753545200
9288476481
10128895616
1166838203
1237200454
132091cbc5
141319389a
15b4b1461
hex7aeca80

128895616 has 32 divisors (see below), whose sum is σ = 258778080. Its totient is φ = 63947520.

The previous prime is 128895607. The next prime is 128895617. The reversal of 128895616 is 616598821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1288956162 = 33228159648038912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128895617) 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 3 ways as a sum of consecutive naturals, for example, 12925 + ... + 20611.

It is an arithmetic number, because the mean of its divisors is an integer number (8086815).

Almost surely, 2128895616 is an apocalyptic number.

128895616 is a gapful number since it is divisible by the number (16) 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 128895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129389040).

128895616 is an abundant number, since it is smaller than the sum of its proper divisors (129882464).

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

128895616 is an equidigital number, since it uses as much as digits as its factorization.

128895616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7820 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The square root of 128895616 is about 11353.2205122599. The cubic root of 128895616 is about 505.1411114333.

The spelling of 128895616 in words is "one hundred twenty-eight million, eight hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 7687 8384 15374 16768 30748 61496 122992 245984 491968 983936 1006997 2013994 4027988 8055976 16111952 32223904 64447808 128895616