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163152 = 243211103
BaseRepresentation
bin100111110101010000
322021210200
4213311100
520210102
63255200
71246443
oct476520
9267720
10163152
11101640
127a500
1359352
144365a
153351c
hex27d50

163152 has 60 divisors (see below), whose sum is σ = 502944. Its totient is φ = 48960.

The previous prime is 163151. The next prime is 163169. The reversal of 163152 is 251361.

163152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1533 + ... + 1635.

2163152 is an apocalyptic number.

163152 is a gapful number since it is divisible by the number (12) 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 163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251472).

163152 is an abundant number, since it is smaller than the sum of its proper divisors (339792).

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

163152 is a wasteful number, since it uses less digits than its factorization.

163152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 163152 is about 403.9207843130. The cubic root of 163152 is about 54.6425301604.

Subtracting 163152 from its reverse (251361), we obtain a square (88209 = 2972).

The spelling of 163152 in words is "one hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 13596 14832 18128 20394 27192 40788 54384 81576 163152