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102445728 = 25371113859
BaseRepresentation
bin1100001101100…
…11001010100000
321010202210010020
412012303022200
5202211230403
614055433440
72352526410
oct606631240
9233683106
10102445728
1152911aa0
122a385880
13182bba98
14d86a640
158ed9453
hex61b32a0

102445728 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 26607360.

The previous prime is 102445697. The next prime is 102445787. The reversal of 102445728 is 827544201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 463 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2102445728 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 102445728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

102445728 is an abundant number, since it is smaller than the sum of its proper divisors (232855392).

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

102445728 is a wasteful number, since it uses less digits than its factorization.

102445728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 102445728 is about 10121.5477077372. The cubic root of 102445728 is about 467.9124681062.

Adding to 102445728 its reverse (827544201), we get a palindrome (929989929).

The spelling of 102445728 in words is "one hundred two million, four hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 13859 27718 41577 55436 83154 97013 110872 152449 166308 194026 221744 291039 304898 332616 388052 443488 457347 582078 609796 665232 776104 914694 1067143 1164156 1219592 1330464 1552208 1829388 2134286 2328312 2439184 3104416 3201429 3658776 4268572 4656624 4878368 6402858 7317552 8537144 9313248 12805716 14635104 17074288 25611432 34148576 51222864 102445728