Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
30184 = 237311
BaseRepresentation
bin111010111101000
31112101221
413113220
51431214
6351424
7154000
oct72750
945357
1030184
1120750
1215574
131097b
14b000
158e24
hex75e8

30184 has 32 divisors (see below), whose sum is σ = 72000. Its totient is φ = 11760.

The previous prime is 30181. The next prime is 30187. The reversal of 30184 is 48103.

30184 = T41 + T42 + ... + T62.

It is an interprime number because it is at equal distance from previous prime (30181) and next prime (30187).

It is a super-2 number, since 2×301842 = 1822147712, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2739 + ... + 2749.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

230184 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 30184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000).

30184 is an abundant number, since it is smaller than the sum of its proper divisors (41816).

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

30184 is a wasteful number, since it uses less digits than its factorization.

30184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 30184 is about 173.7354310439. The cubic root of 30184 is about 31.1357212680.

Adding to 30184 its reverse (48103), we get a palindrome (78287).

The spelling of 30184 in words is "thirty thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2744 3773 4312 7546 15092 30184