Search a number
-
+
163083924 = 223217266477
BaseRepresentation
bin10011011100001…
…11011010010100
3102100212112002100
421232013122110
5313222141144
624103242100
74020122223
oct1156073224
9370775070
10163083924
1184069403
1246749330
1327a30383
1417932cba
15e4b6269
hex9b87694

163083924 has 36 divisors (see below), whose sum is σ = 436490964. Its totient is φ = 51163392.

The previous prime is 163083911. The next prime is 163083929. The reversal of 163083924 is 429380361.

163083924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136890000 + 26193924 = 11700^2 + 5118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1630839243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163083929) 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, 132627 + ... + 133850.

It is an arithmetic number, because the mean of its divisors is an integer number (12124749).

Almost surely, 2163083924 is an apocalyptic number.

It is an amenable number.

163083924 is an abundant number, since it is smaller than the sum of its proper divisors (273407040).

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

163083924 is a wasteful number, since it uses less digits than its factorization.

163083924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266504 (or 266499 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 163083924 is about 12770.4316293538. The cubic root of 163083924 is about 546.3492914548.

The spelling of 163083924 in words is "one hundred sixty-three million, eighty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 266477 532954 799431 1065908 1598862 2398293 3197724 4530109 4796586 9060218 9593172 13590327 18120436 27180654 40770981 54361308 81541962 163083924