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96115712 = 2107112353
BaseRepresentation
bin1011011101010…
…01110000000000
320200212011222012
411232221300000
5144101200322
613312032052
72244653510
oct556516000
9220764865
1096115712
114a289180
1228232628
1316bb3804
14ca9d840
158688ae2
hex5ba9c00

96115712 has 176 divisors, whose sum is σ = 254679552. Its totient is φ = 35143680.

The previous prime is 96115711. The next prime is 96115757. The reversal of 96115712 is 21751169.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96115711) 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 15 ways as a sum of consecutive naturals, for example, 1813478 + ... + 1813530.

Almost surely, 296115712 is an apocalyptic number.

96115712 is a gapful number since it is divisible by the number (92) 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 96115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127339776).

96115712 is an abundant number, since it is smaller than the sum of its proper divisors (158563840).

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

96115712 is a wasteful number, since it uses less digits than its factorization.

96115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its digits is 3780, while the sum is 32.

The square root of 96115712 is about 9803.8620961333. The cubic root of 96115712 is about 458.0695914542.

It can be divided in two parts, 961157 and 12, that added together give a palindrome (961169).

The spelling of 96115712 in words is "ninety-six million, one hundred fifteen thousand, seven hundred twelve".