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96716016 = 24321076277
BaseRepresentation
bin1011100001111…
…00010011110000
320201222200102200
411300330103300
5144224403031
613332543200
72253033615
oct560742360
9221880380
1096716016
114a6591a1
1228481b00
1317063b17
14cbb850c
1587568e6
hex5c3c4f0

96716016 has 60 divisors (see below), whose sum is σ = 273243672. Its totient is φ = 31932288.

The previous prime is 96715981. The next prime is 96716029. The reversal of 96716016 is 61061769.

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

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 11 ways as a sum of consecutive naturals, for example, 12270 + ... + 18546.

Almost surely, 296716016 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 96716016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136621836).

96716016 is an abundant number, since it is smaller than the sum of its proper divisors (176527656).

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

96716016 is a wasteful number, since it uses less digits than its factorization.

96716016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96716016 is about 9834.4301309227. The cubic root of 96716016 is about 459.0212586449.

The spelling of 96716016 in words is "ninety-six million, seven hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 6277 7704 12554 15408 18831 25108 37662 50216 56493 75324 100432 112986 150648 225972 301296 451944 671639 903888 1343278 2014917 2686556 4029834 5373112 6044751 8059668 10746224 12089502 16119336 24179004 32238672 48358008 96716016