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56214 = 234347
BaseRepresentation
bin1101101110010110
32212010000
431232112
53244324
61112130
7322614
oct155626
985100
1056214
1139264
1228646
131c782
14166b4
15119c9
hexdb96

56214 has 20 divisors (see below), whose sum is σ = 126324. Its totient is φ = 18684.

The previous prime is 56209. The next prime is 56237. The reversal of 56214 is 41265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is an unprimeable number.

56214 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 9 ways as a sum of consecutive naturals, for example, 12 + ... + 335.

256214 is an apocalyptic number.

56214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63162).

56214 is an abundant number, since it is smaller than the sum of its proper divisors (70110).

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

56214 is a wasteful number, since it uses less digits than its factorization.

56214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 56214 is about 237.0949177018. The cubic root of 56214 is about 38.3072959080.

Adding to 56214 its reverse (41265), we get a palindrome (97479).

It can be divided in two parts, 5621 and 4, that added together give a square (5625 = 752).

The spelling of 56214 in words is "fifty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 347 694 1041 2082 3123 6246 9369 18738 28107 56214