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96645120 = 2123511213
BaseRepresentation
bin1011100001010…
…11000000000000
320201212002011220
411300223000000
5144220120440
613331235040
72252320125
oct560530000
9221762156
1096645120
114a60aa00
1228448a80
131703a780
14cb9a74c
1587408d0
hex5c2b000

96645120 has 312 divisors, whose sum is σ = 366039408. Its totient is φ = 21626880.

The previous prime is 96645091. The next prime is 96645121. The reversal of 96645120 is 2154669.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (96645121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7434234 + ... + 7434246.

Almost surely, 296645120 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 96645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183019704).

96645120 is an abundant number, since it is smaller than the sum of its proper divisors (269394288).

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

96645120 is a wasteful number, since it uses less digits than its factorization.

96645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 96645120 is about 9830.8249908133. The cubic root of 96645120 is about 458.9090720344.

Adding to 96645120 its reverse (2154669), we get a palindrome (98799789).

The spelling of 96645120 in words is "ninety-six million, six hundred forty-five thousand, one hundred twenty".