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96585104 = 2471127127
BaseRepresentation
bin1011100000111…
…00010110010000
320201202000212002
411300130112100
5144211210404
613330053132
72251650140
oct560342620
9221660762
1096585104
114a579900
122841a1a8
1317019365
14cb82920
15872cc1e
hex5c1c590

96585104 has 60 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 37625280.

The previous prime is 96585103. The next prime is 96585107. The reversal of 96585104 is 40158569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96585103) 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 in 11 ways as a sum of consecutive naturals, for example, 9989 + ... + 17115.

Almost surely, 296585104 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 96585104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

96585104 is an abundant number, since it is smaller than the sum of its proper divisors (138524848).

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

96585104 is a wasteful number, since it uses less digits than its factorization.

96585104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 96585104 is about 9827.7720771292. The cubic root of 96585104 is about 458.8140591669.

The spelling of 96585104 in words is "ninety-six million, five hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 7127 13552 14254 28508 49889 57016 78397 99778 114032 156794 199556 313588 399112 548779 627176 798224 862367 1097558 1254352 1724734 2195116 3449468 4390232 6036569 6898936 8780464 12073138 13797872 24146276 48292552 96585104