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990210816 = 283274179
BaseRepresentation
bin111011000001010…
…110101100000000
32120000020220212200
4323001112230000
54011443221231
6242131353200
733352440000
oct7301265400
92500226780
10990210816
11468a48051
12237752800
1312a1c057a
1495720000
155bdeabe6
hex3b056b00

990210816 has 270 divisors, whose sum is σ = 3349267740. Its totient is φ = 281336832.

The previous prime is 990210799. The next prime is 990210817. The reversal of 990210816 is 618012099.

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

It is not an unprimeable number, because it can be changed into a prime (990210817) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5531815 + ... + 5531993.

Almost surely, 2990210816 is an apocalyptic number.

990210816 is a gapful number since it is divisible by the number (96) 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 990210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674633870).

990210816 is an abundant number, since it is smaller than the sum of its proper divisors (2359056924).

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

990210816 is an equidigital number, since it uses as much as digits as its factorization.

990210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 990210816 is about 31467.6153529307. The cubic root of 990210816 is about 996.7262328106.

The spelling of 990210816 in words is "nine hundred ninety million, two hundred ten thousand, eight hundred sixteen".