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114210 = 235547
BaseRepresentation
bin11011111000100010
312210200000
4123320202
512123320
62240430
7653655
oct337042
9183600
10114210
1178898
1256116
133cca5
142d89c
1523c90
hex1be22

114210 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 29808.

The previous prime is 114203. The next prime is 114217. The reversal of 114210 is 12411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114203) and next prime (114217).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114192 and 114201.

It is not an unprimeable number, because it can be changed into a prime (114217) by changing a digit.

114210 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, 2407 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2114210 is an apocalyptic number.

114210 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 114210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

114210 is an abundant number, since it is smaller than the sum of its proper divisors (200286).

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

114210 is an equidigital number, since it uses as much as digits as its factorization.

114210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 114210 is about 337.9497003993. The cubic root of 114210 is about 48.5178309751.

Adding to 114210 its reverse (12411), we get a palindrome (126621).

It can be divided in two parts, 114 and 210, that added together give a square (324 = 182).

The spelling of 114210 in words is "one hundred fourteen thousand, two hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 243 270 282 405 423 470 486 705 810 846 1215 1269 1410 2115 2430 2538 3807 4230 6345 7614 11421 12690 19035 22842 38070 57105 114210