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30114 = 2327239
BaseRepresentation
bin111010110100010
31112022100
413112202
51430424
6351230
7153540
oct72642
945270
1030114
1120697
1215516
1310926
14ad90
158dc9
hex75a2

30114 has 24 divisors (see below), whose sum is σ = 74880. Its totient is φ = 8568.

The previous prime is 30113. The next prime is 30119. The reversal of 30114 is 41103.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30096 and 30105.

It is not an unprimeable number, because it can be changed into a prime (30113) 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, 7 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

230114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440).

30114 is an abundant number, since it is smaller than the sum of its proper divisors (44766).

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

30114 is a wasteful number, since it uses less digits than its factorization.

30114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30114 is about 173.5338583678. The cubic root of 30114 is about 31.1116335891. Note that the first 3 decimals are identical.

Adding to 30114 its reverse (41103), we get a palindrome (71217).

It can be divided in two parts, 30 and 114, that added together give a square (144 = 122).

The spelling of 30114 in words is "thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 15057 30114