Search a number
-
+
163130004 = 22331738731
BaseRepresentation
bin10011011100100…
…10101010010100
3102100221212022000
421232102222110
5313230130004
624104235300
74020403452
oct1156225224
9370855260
10163130004
118409aa94
124676bb30
1327a4833b
14179459d2
15e4c4c39
hex9b92a94

163130004 has 48 divisors (see below), whose sum is σ = 425423040. Its totient is φ = 54056160.

The previous prime is 163129957. The next prime is 163130027. The reversal of 163130004 is 400031361.

163130004 is a `hidden beast` number, since 1 + 631 + 30 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1631300042 = 53222796410080032, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 14319 + ... + 23049.

It is an arithmetic number, because the mean of its divisors is an integer number (8862980).

Almost surely, 2163130004 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 163130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212711520).

163130004 is an abundant number, since it is smaller than the sum of its proper divisors (262293036).

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

163130004 is a wasteful number, since it uses less digits than its factorization.

163130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163130004 is about 12772.2356696077. The cubic root of 163130004 is about 546.4007443181.

Adding to 163130004 its reverse (400031361), we get a palindrome (563161365).

The spelling of 163130004 in words is "one hundred sixty-three million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 4671 6228 8731 9342 17462 18684 26193 34924 52386 78579 104772 157158 235737 314316 471474 942948 1510463 3020926 4531389 6041852 9062778 13594167 18125556 27188334 40782501 54376668 81565002 163130004