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51030 = 23657
BaseRepresentation
bin1100011101010110
32121000000
430131112
53113110
61032130
7301530
oct143526
977000
1051030
1135381
1225646
131a2c5
1414850
15101c0
hexc756

51030 has 56 divisors (see below), whose sum is σ = 157392. Its totient is φ = 11664.

The previous prime is 51001. The next prime is 51031. The reversal of 51030 is 3015.

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 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51031) by changing a digit.

51030 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 27 ways as a sum of consecutive naturals, for example, 7287 + ... + 7293.

251030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78696).

51030 is an abundant number, since it is smaller than the sum of its proper divisors (106362).

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

51030 is an equidigital number, since it uses as much as digits as its factorization.

51030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 51030 is about 225.8982071642. The cubic root of 51030 is about 37.0915676983.

Subtracting from 51030 its product of nonzero digits (15), we obtain a palindrome (51015).

Adding to 51030 its reverse (3015), we get a palindrome (54045).

It can be divided in two parts, 5 and 1030, that added together give a triangular number (1035 = T45).

The spelling of 51030 in words is "fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2430 2835 3402 3645 5103 5670 7290 8505 10206 17010 25515 51030