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995016960 = 283557457
BaseRepresentation
bin111011010011101…
…100000100000000
32120100022002200000
4323103230010000
54014211020320
6242422400000
733441335040
oct7323540400
92510262600
10995016960
1147072aa73
12239290000
1312b1b4042
1496211720
155c549c90
hex3b4ec100

995016960 has 432 divisors, whose sum is σ = 4089111936. Its totient is φ = 226934784.

The previous prime is 995016949. The next prime is 995016991. The reversal of 995016960 is 69610599.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177052 + ... + 2177508.

Almost surely, 2995016960 is an apocalyptic number.

995016960 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 995016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044555968).

995016960 is an abundant number, since it is smaller than the sum of its proper divisors (3094094976).

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

995016960 is an equidigital number, since it uses as much as digits as its factorization.

995016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 995016960 is about 31543.8894241024. The cubic root of 995016960 is about 998.3362200381.

The spelling of 995016960 in words is "nine hundred ninety-five million, sixteen thousand, nine hundred sixty".