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128608480 = 25571121373
BaseRepresentation
bin1111010101001…
…10100011100000
322221222222200001
413222212203200
5230410432410
620432305344
73121103560
oct752464340
9287888601
10128608480
1166661500
12370a2254
132084c2c0
141311ada0
15b45633a
hex7aa68e0

128608480 has 288 divisors, whose sum is σ = 416670912. Its totient is φ = 36495360.

The previous prime is 128608423. The next prime is 128608489. The reversal of 128608480 is 84806821.

It is a super-2 number, since 2×1286084802 = 33080282255820800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128608489) 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 47 ways as a sum of consecutive naturals, for example, 1761724 + ... + 1761796.

It is an arithmetic number, because the mean of its divisors is an integer number (1446774).

Almost surely, 2128608480 is an apocalyptic number.

128608480 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 128608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208335456).

128608480 is an abundant number, since it is smaller than the sum of its proper divisors (288062432).

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

128608480 is a wasteful number, since it uses less digits than its factorization.

128608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 128608480 is about 11340.5678870152. The cubic root of 128608480 is about 504.7657378316.

The spelling of 128608480 in words is "one hundred twenty-eight million, six hundred eight thousand, four hundred eighty".