Search a number
-
+
15006630 = 2352947367
BaseRepresentation
bin111001001111…
…101110100110
31001020102020010
4321033232212
512320203010
61253351050
7241361052
oct71175646
931212203
1015006630
11851a781
125038486
133155682
141dc8c62
1514b6620
hexe4fba6

15006630 has 64 divisors (see below), whose sum is σ = 38154240. Its totient is φ = 3771264.

The previous prime is 15006617. The next prime is 15006647. The reversal of 15006630 is 3660051.

It is a junction number, because it is equal to n+sod(n) for n = 15006597 and 15006606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40707 + ... + 41073.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 215006630 is an apocalyptic number.

15006630 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 15006630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120).

15006630 is an abundant number, since it is smaller than the sum of its proper divisors (23147610).

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

15006630 is a wasteful number, since it uses less digits than its factorization.

15006630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 15006630 is about 3873.8391809676. The cubic root of 15006630 is about 246.6575376055.

Adding to 15006630 its reverse (3660051), we get a palindrome (18666681).

The spelling of 15006630 in words is "fifteen million, six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 367 435 470 705 734 870 1101 1363 1410 1835 2202 2726 3670 4089 5505 6815 8178 10643 11010 13630 17249 20445 21286 31929 34498 40890 51747 53215 63858 86245 103494 106430 159645 172490 258735 319290 500221 517470 1000442 1500663 2501105 3001326 5002210 7503315 15006630