Search a number
-
+
10468530 = 2325412837
BaseRepresentation
bin100111111011…
…110010110010
3201200212010100
4213323302302
510134443110
61012213230
7154660332
oct47736262
921625110
1010468530
115a00186
12360a216
132226bc7
1415670c2
15dbbbc0
hex9fbcb2

10468530 has 48 divisors (see below), whose sum is σ = 27891864. Its totient is φ = 2722560.

The previous prime is 10468529. The next prime is 10468543. The reversal of 10468530 is 3586401.

It can be written as a sum of positive squares in 4 ways, for example, as 2634129 + 7834401 = 1623^2 + 2799^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10468494 and 10468503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272 + ... + 5108.

Almost surely, 210468530 is an apocalyptic number.

10468530 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 10468530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945932).

10468530 is an abundant number, since it is smaller than the sum of its proper divisors (17423334).

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

10468530 is a wasteful number, since it uses less digits than its factorization.

10468530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10468530 is about 3235.5107788416. The cubic root of 10468530 is about 218.7569706622.

The spelling of 10468530 in words is "ten million, four hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 2837 3690 5674 8511 14185 17022 25533 28370 42555 51066 85110 116317 127665 232634 255330 348951 581585 697902 1046853 1163170 1744755 2093706 3489510 5234265 10468530