Search a number
-
+
11730030 = 23513191583
BaseRepresentation
bin101100101111…
…110001101110
3211001221120120
4230233301232
511000330110
61055225410
7201463224
oct54576156
924057516
1011730030
116691a44
123b18266
132579160
1417b4b14
15106a870
hexb2fc6e

11730030 has 64 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2733696.

The previous prime is 11730029. The next prime is 11730031. The reversal of 11730030 is 3003711.

It is an interprime number because it is at equal distance from previous prime (11730029) and next prime (11730031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11729991 and 11730009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6619 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 211730030 is an apocalyptic number.

11730030 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 11730030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

11730030 is an abundant number, since it is smaller than the sum of its proper divisors (20203410).

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

11730030 is a wasteful number, since it uses less digits than its factorization.

11730030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 11730030 is about 3424.9131375847. The cubic root of 11730030 is about 227.2129293831.

Adding to 11730030 its reverse (3003711), we get a palindrome (14733741).

The spelling of 11730030 in words is "eleven million, seven hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1583 2470 3166 3705 4749 7410 7915 9498 15830 20579 23745 30077 41158 47490 60154 61737 90231 102895 123474 150385 180462 205790 300770 308685 391001 451155 617370 782002 902310 1173003 1955005 2346006 3910010 5865015 11730030