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96082560 = 2732572383
BaseRepresentation
bin1011011101000…
…01101010000000
320200210111111100
411232201222000
5144044120220
613311214400
72244455040
oct556415200
9220714440
1096082560
114a266282
1228217400
1316ba16b2
14ca91720
15867dd90
hex5ba1a80

96082560 has 192 divisors, whose sum is σ = 379342080. Its totient is φ = 21952512.

The previous prime is 96082559. The next prime is 96082561. The reversal of 96082560 is 6528069.

96082560 is a `hidden beast` number, since 96 + 0 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (96082559) and next prime (96082561).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96082561) 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 23 ways as a sum of consecutive naturals, for example, 39129 + ... + 41511.

It is an arithmetic number, because the mean of its divisors is an integer number (1975740).

Almost surely, 296082560 is an apocalyptic number.

96082560 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 96082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189671040).

96082560 is an abundant number, since it is smaller than the sum of its proper divisors (283259520).

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

96082560 is a wasteful number, since it uses less digits than its factorization.

96082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96082560 is about 9802.1711880583. The cubic root of 96082560 is about 458.0169199778.

The spelling of 96082560 in words is "ninety-six million, eighty-two thousand, five hundred sixty".