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96760480 = 255604753
BaseRepresentation
bin1011100010001…
…11001010100000
320202001221102111
411301013022200
5144232313410
613333525104
72253310345
oct561071240
9222057374
1096760480
114a689643
12284a3794
131707b12b
14cbca7cc
158764b8a
hex5c472a0

96760480 has 24 divisors (see below), whose sum is σ = 228597012. Its totient is φ = 38704128.

The previous prime is 96760463. The next prime is 96760519. The reversal of 96760480 is 8406769.

It can be written as a sum of positive squares in 2 ways, for example, as 89340304 + 7420176 = 9452^2 + 2724^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 302217 + ... + 302536.

Almost surely, 296760480 is an apocalyptic number.

It is an amenable number.

96760480 is an abundant number, since it is smaller than the sum of its proper divisors (131836532).

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

96760480 is a wasteful number, since it uses less digits than its factorization.

96760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604768 (or 604760 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 96760480 is about 9836.6905003665. The cubic root of 96760480 is about 459.0915909957.

The spelling of 96760480 in words is "ninety-six million, seven hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 604753 1209506 2419012 3023765 4838024 6047530 9676048 12095060 19352096 24190120 48380240 96760480