Search a number
-
+
30132168 = 23311311367
BaseRepresentation
bin111001011110…
…0011111001000
32002200212120020
41302330133020
530203212133
62553500440
7514055613
oct162743710
962625506
1030132168
1116010820
12a111720
1363201b1
14400517a
1529a30b3
hex1cbc7c8

30132168 has 64 divisors (see below), whose sum is σ = 82667520. Its totient is φ = 9076800.

The previous prime is 30132161. The next prime is 30132169. The reversal of 30132168 is 86123103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30132161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81921 + ... + 82287.

It is an arithmetic number, because the mean of its divisors is an integer number (1291680).

Almost surely, 230132168 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 30132168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41333760).

30132168 is an abundant number, since it is smaller than the sum of its proper divisors (52535352).

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

30132168 is a wasteful number, since it uses less digits than its factorization.

30132168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30132168 is about 5489.2775480932. The cubic root of 30132168 is about 311.1788895789.

The spelling of 30132168 in words is "thirty million, one hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 367 622 734 933 1101 1244 1468 1866 2202 2488 2936 3421 3732 4037 4404 6842 7464 8074 8808 10263 12111 13684 16148 20526 24222 27368 32296 41052 48444 82104 96888 114137 228274 342411 456548 684822 913096 1255507 1369644 2511014 2739288 3766521 5022028 7533042 10044056 15066084 30132168