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128140824 = 2337762743
BaseRepresentation
bin1111010001101…
…00011000011000
322221010020011110
413220310120120
5230301001244
620414300320
73114115260
oct750643030
9287106143
10128140824
1166372109
1236ab76a0
1320717496
14130387a0
15b3b29b9
hex7a34618

128140824 has 32 divisors (see below), whose sum is σ = 366117120. Its totient is φ = 36611616.

The previous prime is 128140823. The next prime is 128140853. The reversal of 128140824 is 428041821.

It is a junction number, because it is equal to n+sod(n) for n = 128140791 and 128140800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128140823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381204 + ... + 381539.

It is an arithmetic number, because the mean of its divisors is an integer number (11441160).

Almost surely, 2128140824 is an apocalyptic number.

128140824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128140824 is an abundant number, since it is smaller than the sum of its proper divisors (237976296).

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

128140824 is a wasteful number, since it uses less digits than its factorization.

128140824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762759 (or 762755 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 128140824 is about 11319.9303884785. The cubic root of 128140824 is about 504.1531721392.

The spelling of 128140824 in words is "one hundred twenty-eight million, one hundred forty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 762743 1525486 2288229 3050972 4576458 5339201 6101944 9152916 10678402 16017603 18305832 21356804 32035206 42713608 64070412 128140824