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96240128 = 291711057
BaseRepresentation
bin1011011110010…
…00001000000000
320201002111122012
411233020020000
5144114141003
613314432052
72246012315
oct557101000
9221074565
1096240128
114a3636a6
1228292628
1316c2832a
14cad2d0c
1586b08d8
hex5bc8200

96240128 has 40 divisors (see below), whose sum is σ = 203622012. Its totient is φ = 45285376.

The previous prime is 96240121. The next prime is 96240139. The reversal of 96240128 is 82104269.

It can be written as a sum of positive squares in 2 ways, for example, as 96196864 + 43264 = 9808^2 + 208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 96240094 and 96240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96240121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3176 + ... + 14232.

Almost surely, 296240128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101811006).

96240128 is an abundant number, since it is smaller than the sum of its proper divisors (107381884).

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

96240128 is a wasteful number, since it uses less digits than its factorization.

96240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 96240128 is about 9810.2052985654. The cubic root of 96240128 is about 458.2671540664.

The spelling of 96240128 in words is "ninety-six million, two hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 11057 22114 44228 88456 176912 187969 353824 375938 707648 751876 1415296 1503752 2830592 3007504 5661184 6015008 12030016 24060032 48120064 96240128