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163098000 = 243253131741
BaseRepresentation
bin10011011100010…
…10110110010000
3102100220020101200
421232022312100
5313223114000
624103431200
74020211242
oct1156126620
9370806350
10163098000
1184078a3a
1246755500
1327a368c0
1417938092
15e4ba500
hex9b8ad90

163098000 has 480 divisors, whose sum is σ = 665394912. Its totient is φ = 36864000.

The previous prime is 163097951. The next prime is 163098029. The reversal of 163098000 is 890361.

It can be written as a sum of positive squares in 16 ways, for example, as 153660816 + 9437184 = 12396^2 + 3072^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3977980 + ... + 3978020.

Almost surely, 2163098000 is an apocalyptic number.

163098000 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 163098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697456).

163098000 is an abundant number, since it is smaller than the sum of its proper divisors (502296912).

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

163098000 is a wasteful number, since it uses less digits than its factorization.

163098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 163098000 is about 12770.9827343083. The cubic root of 163098000 is about 546.3650097246.

The spelling of 163098000 in words is "one hundred sixty-three million, ninety-eight thousand".