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128774880 = 25335132293
BaseRepresentation
bin1111010110011…
…11001011100000
322222022102221000
413223033023200
5230431244010
620440032000
73122365653
oct753171340
9288272830
10128774880
1166765523
1237162600
13208a9c70
141316189a
15b48a7c0
hex7acf2e0

128774880 has 192 divisors, whose sum is σ = 485593920. Its totient is φ = 31684608.

The previous prime is 128774801. The next prime is 128774887. The reversal of 128774880 is 88477821.

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 (128774887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55014 + ... + 57306.

It is an arithmetic number, because the mean of its divisors is an integer number (2529135).

Almost surely, 2128774880 is an apocalyptic number.

128774880 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 128774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242796960).

128774880 is an abundant number, since it is smaller than the sum of its proper divisors (356819040).

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

128774880 is a wasteful number, since it uses less digits than its factorization.

128774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 128774880 is about 11347.9020087415. The cubic root of 128774880 is about 504.9833409529.

It can be divided in two parts, 1287 and 74880, that added together give a palindrome (76167).

The spelling of 128774880 in words is "one hundred twenty-eight million, seven hundred seventy-four thousand, eight hundred eighty".