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96808320 = 2732575
BaseRepresentation
bin1011100010100…
…10110110000000
320202011101001100
411301102312000
5144240331240
613334534400
72253600000
oct561226600
9222141040
1096808320
114a711584
1228507400
1317096b3b
14cc00000
158773e30
hex5c52d80

96808320 has 288 divisors, whose sum is σ = 390003120. Its totient is φ = 22127616.

The previous prime is 96808301. The next prime is 96808331. The reversal of 96808320 is 2380869.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 13829757 + ... + 13829763.

Almost surely, 296808320 is an apocalyptic number.

96808320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195001560).

96808320 is an abundant number, since it is smaller than the sum of its proper divisors (293194800).

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

96808320 is an frugal number, since it uses more digits than its factorization.

96808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96808320 is about 9839.1219120407. The cubic root of 96808320 is about 459.1672393840.

The spelling of 96808320 in words is "ninety-six million, eight hundred eight thousand, three hundred twenty".