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8940096 = 2632111783
BaseRepresentation
bin100010000110…
…101001000000
3121211012111200
4202012221000
54242040341
6515341200
7135663264
oct42065100
917735450
108940096
115056910
122bb1800
131b102c9
14128a0a4
15bb8db6
hex886a40

8940096 has 168 divisors, whose sum is σ = 29955744. Its totient is φ = 2519040.

The previous prime is 8940083. The next prime is 8940097. The reversal of 8940096 is 6900498.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8940096.

It is not an unprimeable number, because it can be changed into a prime (8940097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107671 + ... + 107753.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 28940096 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 8940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

8940096 is an abundant number, since it is smaller than the sum of its proper divisors (21015648).

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

8940096 is a wasteful number, since it uses less digits than its factorization.

8940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8940096 is about 2989.9993311036. Note that the first 3 decimals coincide. The cubic root of 8940096 is about 207.5458533204.

The spelling of 8940096 in words is "eight million, nine hundred forty thousand, ninety-six".