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96981696 = 2632767359
BaseRepresentation
bin1011100011111…
…01001011000000
320202111011212200
411301331023000
5144311403241
613342353200
72255221320
oct561751300
9222434780
1096981696
114a81a869
122858b800
1317127a26
14cc47280
1587aa4b6
hex5c7d2c0

96981696 has 168 divisors, whose sum is σ = 323331840. Its totient is φ = 27219456.

The previous prime is 96981691. The next prime is 96981739. The reversal of 96981696 is 69618969.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (96981691) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 269965 + ... + 270323.

Almost surely, 296981696 is an apocalyptic number.

96981696 is a gapful number since it is divisible by the number (96) 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 96981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

96981696 is an abundant number, since it is smaller than the sum of its proper divisors (226350144).

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

96981696 is a wasteful number, since it uses less digits than its factorization.

96981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 96981696 is about 9847.9285131443. The cubic root of 96981696 is about 459.4411865761.

The spelling of 96981696 in words is "ninety-six million, nine hundred eighty-one thousand, six hundred ninety-six".