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999406080 = 2933519761
BaseRepresentation
bin111011100100011…
…011101000000000
32120122120002102000
4323210123220000
54021321443310
6243100424000
733523545231
oct7344335000
92518502360
10999406080
11473158642
1223a848000
1312c08ca5a
1496a35088
155cb154c0
hex3b91ba00

999406080 has 320 divisors, whose sum is σ = 3741724800. Its totient is φ = 252149760.

The previous prime is 999406069. The next prime is 999406087. The reversal of 999406080 is 80604999.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (999406087) 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 31 ways as a sum of consecutive naturals, for example, 1312900 + ... + 1313660.

It is an arithmetic number, because the mean of its divisors is an integer number (11692890).

Almost surely, 2999406080 is an apocalyptic number.

999406080 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 999406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870862400).

999406080 is an abundant number, since it is smaller than the sum of its proper divisors (2742318720).

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

999406080 is a wasteful number, since it uses less digits than its factorization.

999406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 999406080 is about 31613.3845071988. The cubic root of 999406080 is about 999.8019874603.

The spelling of 999406080 in words is "nine hundred ninety-nine million, four hundred six thousand, eighty".