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102185728 = 28399163
BaseRepresentation
bin1100001011100…
…11101100000000
321010021120110121
412011303230000
5202124420403
614050110024
72350364401
oct605635400
9233246417
10102185728
1152754717
122a27b314
131822a638
14d7dd9a8
158e873bd
hex6173b00

102185728 has 18 divisors (see below), whose sum is σ = 203972804. Its totient is φ = 51092736.

The previous prime is 102185701. The next prime is 102185729. The reversal of 102185728 is 827581201.

It is a junction number, because it is equal to n+sod(n) for n = 102185693 and 102185702.

It is not an unprimeable number, because it can be changed into a prime (102185729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199326 + ... + 199837.

Almost surely, 2102185728 is an apocalyptic number.

It is an amenable number.

102185728 is a deficient number, since it is larger than the sum of its proper divisors (101787076).

102185728 is an frugal number, since it uses more digits than its factorization.

102185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399179 (or 399165 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 102185728 is about 10108.6956626461. The cubic root of 102185728 is about 467.5162898610.

The spelling of 102185728 in words is "one hundred two million, one hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 399163 798326 1596652 3193304 6386608 12773216 25546432 51092864 102185728