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163941120 = 28325719107
BaseRepresentation
bin10011100010110…
…00101100000000
3102102111001221100
421301120230000
5313432103440
624133454400
74030322310
oct1161305400
9372431840
10163941120
11845a4432
1246aa1400
1327c705a5
1417ab7440
15e5d5230
hex9c58b00

163941120 has 432 divisors, whose sum is σ = 688746240. Its totient is φ = 35168256.

The previous prime is 163941109. The next prime is 163941121. The reversal of 163941120 is 21149361.

163941120 is a `hidden beast` number, since 1 + 639 + 4 + 1 + 1 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (163941121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532107 + ... + 1532213.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2163941120 is an apocalyptic number.

163941120 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 163941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

163941120 is an abundant number, since it is smaller than the sum of its proper divisors (524805120).

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

163941120 is a wasteful number, since it uses less digits than its factorization.

163941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

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

The square root of 163941120 is about 12803.9493907154. The cubic root of 163941120 is about 547.3048532013.

Adding to 163941120 its product of nonzero digits (1296), we get a square (163942416 = 128042).

The spelling of 163941120 in words is "one hundred sixty-three million, nine hundred forty-one thousand, one hundred twenty".