Search a number
-
+
128306880 = 263251323149
BaseRepresentation
bin1111010010111…
…00111011000000
322221102122221200
413221130323000
5230321310010
620422021200
73115406352
oct751347300
9287378850
10128306880
1166475949
1236b77800
1320774c40
141307d0d2
15b3e6cc0
hex7a5cec0

128306880 has 336 divisors, whose sum is σ = 499262400. Its totient is φ = 30007296.

The previous prime is 128306879. The next prime is 128306929. The reversal of 128306880 is 88603821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861046 + ... + 861194.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2128306880 is an apocalyptic number.

128306880 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 128306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

128306880 is an abundant number, since it is smaller than the sum of its proper divisors (370955520).

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

128306880 is a wasteful number, since it uses less digits than its factorization.

128306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128306880 is about 11327.2626878695. The cubic root of 128306880 is about 504.3708532801.

The spelling of 128306880 in words is "one hundred twenty-eight million, three hundred six thousand, eight hundred eighty".