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128162340 = 223251136301
BaseRepresentation
bin1111010001110…
…01101000100100
322221011022200100
413220321220210
5230302143330
620414544100
73114235065
oct750715044
9287138610
10128162340
1166387299
1236b08030
1320724207
141304256c
15b3b9060
hex7a39a24

128162340 has 72 divisors (see below), whose sum is σ = 392261688. Its totient is φ = 33868800.

The previous prime is 128162327. The next prime is 128162347. The reversal of 128162340 is 43261821.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 127780416 = 618^2 + 11304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128162347) 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 23 ways as a sum of consecutive naturals, for example, 17190 + ... + 23490.

It is an arithmetic number, because the mean of its divisors is an integer number (5448079).

Almost surely, 2128162340 is an apocalyptic number.

128162340 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 128162340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196130844).

128162340 is an abundant number, since it is smaller than the sum of its proper divisors (264099348).

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

128162340 is a wasteful number, since it uses less digits than its factorization.

128162340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128162340 is about 11320.8807077895. The cubic root of 128162340 is about 504.1813878481.

The spelling of 128162340 in words is "one hundred twenty-eight million, one hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6301 6780 10170 12602 18903 20340 25204 31505 37806 56709 63010 75612 94515 113418 126020 189030 226836 283545 378060 567090 712013 1134180 1424026 2136039 2848052 3560065 4272078 6408117 7120130 8544156 10680195 12816234 14240260 21360390 25632468 32040585 42720780 64081170 128162340