Search a number
-
+
63030 = 23511191
BaseRepresentation
bin1111011000110110
310012110110
433120312
54004110
61203450
7351522
oct173066
9105413
1063030
11433a0
1230586
13228c6
1418d82
1513a20
hexf636

63030 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 15200.

The previous prime is 63029. The next prime is 63031. The reversal of 63030 is 3036.

Added to its reverse (3036) it gives a triangular number (66066 = T363).

63030 = T30 + T31 + ... + T73.

It is an interprime number because it is at equal distance from previous prime (63029) and next prime (63031).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 62997 and 63015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

263030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

63030 is an abundant number, since it is smaller than the sum of its proper divisors (102858).

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

63030 is a wasteful number, since it uses less digits than its factorization.

63030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 63030 is about 251.0577622779. The cubic root of 63030 is about 39.7968870405.

Adding to 63030 its reverse (3036), we get a palindrome (66066).

The spelling of 63030 in words is "sixty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1910 2101 2865 4202 5730 6303 10505 12606 21010 31515 63030