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128525140 = 2256426257
BaseRepresentation
bin1111010100100…
…10001101010100
322221211202100101
413222102031110
5230400301030
620430423444
73120305602
oct752221524
9287752311
10128525140
1166604927
1237061b84
13208203a3
14130d8872
15b43b7ca
hex7a92354

128525140 has 12 divisors (see below), whose sum is σ = 269902836. Its totient is φ = 51410048.

The previous prime is 128525113. The next prime is 128525149. The reversal of 128525140 is 41525821.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 115304644 = 3636^2 + 10738^2 .

It is a super-3 number, since 3×1285251403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 128525099 and 128525108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128525149) 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, 3213109 + ... + 3213148.

It is an arithmetic number, because the mean of its divisors is an integer number (22491903).

Almost surely, 2128525140 is an apocalyptic number.

128525140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128525140 is an abundant number, since it is smaller than the sum of its proper divisors (141377696).

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

128525140 is a wasteful number, since it uses less digits than its factorization.

128525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426266 (or 6426264 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 128525140 is about 11336.8928723879. The cubic root of 128525140 is about 504.6566826419.

The spelling of 128525140 in words is "one hundred twenty-eight million, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6426257 12852514 25705028 32131285 64262570 128525140