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96396120 = 233251719829
BaseRepresentation
bin1011011111011…
…10001101011000
320201101102121200
411233232031120
5144134133440
613322034200
72250232152
oct557561530
9221342550
1096396120
114a45a917
1228348960
1316c81332
14cb33ad2
1586e1c30
hex5bee358

96396120 has 192 divisors, whose sum is σ = 349596000. Its totient is φ = 22892544.

The previous prime is 96396071. The next prime is 96396127. The reversal of 96396120 is 2169369.

96396120 is a `hidden beast` number, since 9 + 6 + 39 + 612 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96396127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115866 + ... + 116694.

Almost surely, 296396120 is an apocalyptic number.

96396120 is a gapful number since it is divisible by the number (90) 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 96396120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174798000).

96396120 is an abundant number, since it is smaller than the sum of its proper divisors (253199880).

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

96396120 is a wasteful number, since it uses less digits than its factorization.

96396120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96396120 is about 9818.1525757140. The cubic root of 96396120 is about 458.5146164058.

The spelling of 96396120 in words is "ninety-six million, three hundred ninety-six thousand, one hundred twenty".