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163105380 = 223354153139
BaseRepresentation
bin10011011100011…
…00101001100100
3102100220121112000
421232030221210
5313223333010
624103525300
74020241614
oct1156145144
9370817460
10163105380
1184083539
1246759830
1327a3a079
141793aa44
15e4bc7c0
hex9b8ca64

163105380 has 192 divisors, whose sum is σ = 533433600. Its totient is φ = 41333760.

The previous prime is 163105373. The next prime is 163105381. The reversal of 163105380 is 83501361.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (163105381) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1173351 + ... + 1173489.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2163105380 is an apocalyptic number.

163105380 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 163105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

163105380 is an abundant number, since it is smaller than the sum of its proper divisors (370328220).

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

163105380 is a wasteful number, since it uses less digits than its factorization.

163105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 163105380 is about 12771.2716673008. The cubic root of 163105380 is about 546.3732503999.

The spelling of 163105380 in words is "one hundred sixty-three million, one hundred five thousand, three hundred eighty".