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114030 = 23257181
BaseRepresentation
bin11011110101101110
312210102100
4123311232
512122110
62235530
7653310
oct336556
9183370
10114030
1178744
1255ba6
133cb97
142d7b0
1523bc0
hex1bd6e

114030 has 48 divisors (see below), whose sum is σ = 340704. Its totient is φ = 25920.

The previous prime is 114013. The next prime is 114031. The reversal of 114030 is 30411.

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

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031) by changing a digit.

114030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2114030 is an apocalyptic number.

114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352).

114030 is an abundant number, since it is smaller than the sum of its proper divisors (226674).

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

114030 is a wasteful number, since it uses less digits than its factorization.

114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

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

The square root of 114030 is about 337.6832835661. The cubic root of 114030 is about 48.4923288253.

Adding to 114030 its reverse (30411), we get a palindrome (144441).

The spelling of 114030 in words is "one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 181 210 315 362 543 630 905 1086 1267 1629 1810 2534 2715 3258 3801 5430 6335 7602 8145 11403 12670 16290 19005 22806 38010 57015 114030