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96977920 = 2105133147
BaseRepresentation
bin1011100011111…
…00010000000000
320202110222200211
411301330100000
5144311243140
613342323504
72255204314
oct561742000
9222428624
1096977920
114a817a46
1228589594
13171260b0
14cc45b44
1587a92ea
hex5c7c400

96977920 has 176 divisors, whose sum is σ = 264112128. Its totient is φ = 33914880.

The previous prime is 96977917. The next prime is 96977927. The reversal of 96977920 is 2977969.

It is not an unprimeable number, because it can be changed into a prime (96977927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2063337 + ... + 2063383.

It is a vampire number, since it can be written as 97769920 (with its own digits).

Almost surely, 296977920 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 96977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056064).

96977920 is an abundant number, since it is smaller than the sum of its proper divisors (167134208).

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

96977920 is a wasteful number, since it uses less digits than its factorization.

96977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

The square root of 96977920 is about 9847.7367958328. The cubic root of 96977920 is about 459.4352236900.

Adding to 96977920 its sum of digits (49), we get a palindrome (96977969).

The spelling of 96977920 in words is "ninety-six million, nine hundred seventy-seven thousand, nine hundred twenty".