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128826880 = 295721379
BaseRepresentation
bin1111010110110…
…11111000000000
322222102002020221
413223123320000
5230434430010
620441112424
73123003400
oct753337000
9288362227
10128826880
11667a05a6
1237188714
13208c7830
1413176800
15b49adda
hex7adbe00

128826880 has 240 divisors, whose sum is σ = 391849920. Its totient is φ = 40255488.

The previous prime is 128826871. The next prime is 128826881. The reversal of 128826880 is 88628821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128826881) 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, 1630681 + ... + 1630759.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2128826880 is an apocalyptic number.

128826880 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 128826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

128826880 is an abundant number, since it is smaller than the sum of its proper divisors (263023040).

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

128826880 is an equidigital number, since it uses as much as digits as its factorization.

128826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 128826880 is about 11350.1929499018. The cubic root of 128826880 is about 505.0513034831.

The spelling of 128826880 in words is "one hundred twenty-eight million, eight hundred twenty-six thousand, eight hundred eighty".