Search a number
-
+
163073960 = 235721929151
BaseRepresentation
bin10011011100001…
…00111110101000
3102100212000102022
421232010332220
5313221331320
624103124012
74020051200
oct1156047650
9370760368
10163073960
1184061975
1246743608
1327a2898a
141792d400
15e4b3325
hex9b84fa8

163073960 has 192 divisors, whose sum is σ = 467856000. Its totient is φ = 50803200.

The previous prime is 163073921. The next prime is 163073971. The reversal of 163073960 is 69370361.

163073960 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 163073960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079885 + ... + 1080035.

It is an arithmetic number, because the mean of its divisors is an integer number (2436750).

Almost surely, 2163073960 is an apocalyptic number.

163073960 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 163073960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233928000).

163073960 is an abundant number, since it is smaller than the sum of its proper divisors (304782040).

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

163073960 is a wasteful number, since it uses less digits than its factorization.

163073960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 163073960 is about 12770.0415034564. The cubic root of 163073960 is about 546.3381643919.

The spelling of 163073960 in words is "one hundred sixty-three million, seventy-three thousand, nine hundred sixty".