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999680000 = 211541171
BaseRepresentation
bin111011100101011…
…110100000000000
32120200002000011012
4323211132200000
54021404230000
6243110340052
733526065644
oct7345364000
92520060135
10999680000
11473325420
1223a95a628
1312c157637
1496aa6c24
155cb6b735
hex3b95e800

999680000 has 240 divisors, whose sum is σ = 2763240480. Its totient is φ = 358400000.

The previous prime is 999679991. The next prime is 999680009. The reversal of 999680000 is 86999.

It is an interprime number because it is at equal distance from previous prime (999679991) and next prime (999680009).

It is a self number, because there is not a number n which added to its sum of digits gives 999680000.

It is not an unprimeable number, because it can be changed into a prime (999680009) 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 19 ways as a sum of consecutive naturals, for example, 14079965 + ... + 14080035.

It is an arithmetic number, because the mean of its divisors is an integer number (11513502).

Almost surely, 2999680000 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 999680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381620240).

999680000 is an abundant number, since it is smaller than the sum of its proper divisors (1763560480).

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

999680000 is an equidigital number, since it uses as much as digits as its factorization.

999680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 999680000 is about 31617.7165525912. The cubic root of 999680000 is about 999.8933219535.

The spelling of 999680000 in words is "nine hundred ninety-nine million, six hundred eighty thousand".