Search a number
-
+
163334080 = 2657137179
BaseRepresentation
bin10011011110001…
…00011111000000
3102101100020020101
421233010133000
5313303142310
624112452144
74022213440
oct1157043700
9371306211
10163334080
118421a348
124684a054
1327aba1b0
141799a120
15e51543a
hex9bc47c0

163334080 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 50319360.

The previous prime is 163334057. The next prime is 163334189. The reversal of 163334080 is 80433361.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2067481 + ... + 2067559.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2163334080 is an apocalyptic number.

163334080 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 163334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

163334080 is an abundant number, since it is smaller than the sum of its proper divisors (328247360).

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

163334080 is a wasteful number, since it uses less digits than its factorization.

163334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 163334080 is about 12780.2222202902. Note that the first 5 decimals coincide. The cubic root of 163334080 is about 546.6284988885.

The spelling of 163334080 in words is "one hundred sixty-three million, three hundred thirty-four thousand, eighty".