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163073152 = 2711210529
BaseRepresentation
bin10011011100001…
…00110010000000
3102100211222022101
421232010302000
5313221320102
624103120144
74020045634
oct1156046200
9370758271
10163073152
1184061300
1246743054
1327a284b8
141792cdc4
15e4b2e87
hex9b84c80

163073152 has 48 divisors (see below), whose sum is σ = 357124950. Its totient is φ = 74117120.

The previous prime is 163073111. The next prime is 163073153. The reversal of 163073152 is 251370361.

It can be written as a sum of positive squares in only one way, i.e., 117158976 + 45914176 = 10824^2 + 6776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 163073152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163073153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10224 + ... + 20752.

Almost surely, 2163073152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178562475).

163073152 is an abundant number, since it is smaller than the sum of its proper divisors (194051798).

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

163073152 is a wasteful number, since it uses less digits than its factorization.

163073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 163073152 is about 12770.0098668717. The cubic root of 163073152 is about 546.3372620570.

The spelling of 163073152 in words is "one hundred sixty-three million, seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 10529 15488 21058 42116 84232 115819 168464 231638 336928 463276 673856 926552 1274009 1347712 1853104 2548018 3706208 5096036 7412416 10192072 14824832 20384144 40768288 81536576 163073152