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163999080 = 23345721033
BaseRepresentation
bin10011100011001…
…10110101101000
3102102121000110000
421301212311220
5313440432310
624135023000
74030653300
oct1161466550
9372530400
10163999080
1184633a33
1246b0aa60
1327c90a9b
1417ad0600
15e5e74c0
hex9c66d68

163999080 has 240 divisors, whose sum is σ = 641834820. Its totient is φ = 37449216.

The previous prime is 163999067. The next prime is 163999081. The reversal of 163999080 is 80999361.

163999080 is a `hidden beast` number, since 1 + 639 + 9 + 9 + 0 + 8 + 0 = 666.

163999080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 155600676 + 8398404 = 12474^2 + 2898^2 .

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 (163999081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158244 + ... + 159276.

Almost surely, 2163999080 is an apocalyptic number.

163999080 is a gapful number since it is divisible by the number (10) 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 163999080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320917410).

163999080 is an abundant number, since it is smaller than the sum of its proper divisors (477835740).

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

163999080 is a wasteful number, since it uses less digits than its factorization.

163999080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 163999080 is about 12806.2125548501. The cubic root of 163999080 is about 547.3693439398.

The spelling of 163999080 in words is "one hundred sixty-three million, nine hundred ninety-nine thousand, eighty".