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96905680 = 2452774373
BaseRepresentation
bin1011100011010…
…10100111010000
320202100022121021
411301222213100
5144301440210
613341005224
72254453564
oct561524720
9222308537
1096905680
114a778743
1228553814
13170cc251
14cc276a4
158792bda
hex5c6a9d0

96905680 has 40 divisors (see below), whose sum is σ = 226170792. Its totient is φ = 38613504.

The previous prime is 96905663. The next prime is 96905707. The reversal of 96905680 is 8650969.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 93779856 = 1768^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19974 + ... + 24346.

Almost surely, 296905680 is an apocalyptic number.

It is an amenable number.

96905680 is an abundant number, since it is smaller than the sum of its proper divisors (129265112).

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

96905680 is a wasteful number, since it uses less digits than its factorization.

96905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 96905680 is about 9844.0682646963. The cubic root of 96905680 is about 459.3211157739.

The spelling of 96905680 in words is "ninety-six million, nine hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 2216 2770 4373 4432 5540 8746 11080 17492 21865 22160 34984 43730 69968 87460 174920 349840 1211321 2422642 4845284 6056605 9690568 12113210 19381136 24226420 48452840 96905680