Search a number
-
+
10848330 = 234559227
BaseRepresentation
bin101001011000…
…100001001010
3202102011010000
4221120201022
510234121310
61024303430
7161131533
oct51304112
922364100
1010848330
11613a569
123771b76
13232aa3c
14162568a
15e444c0
hexa5884a

10848330 has 80 divisors (see below), whose sum is σ = 29795040. Its totient is φ = 2831328.

The previous prime is 10848307. The next prime is 10848353. The reversal of 10848330 is 3384801.

It is an interprime number because it is at equal distance from previous prime (10848307) and next prime (10848353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10848294 and 10848303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47677 + ... + 47903.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 210848330 is an apocalyptic number.

10848330 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 10848330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

10848330 is an abundant number, since it is smaller than the sum of its proper divisors (18946710).

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

10848330 is a wasteful number, since it uses less digits than its factorization.

10848330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10848330 is about 3293.6803123558. The cubic root of 10848330 is about 221.3711201231.

The spelling of 10848330 in words is "ten million, eight hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 227 270 295 354 405 454 531 590 681 810 885 1062 1135 1362 1593 1770 2043 2270 2655 3186 3405 4086 4779 5310 6129 6810 7965 9558 10215 12258 13393 15930 18387 20430 23895 26786 30645 36774 40179 47790 61290 66965 80358 91935 120537 133930 183870 200895 241074 361611 401790 602685 723222 1084833 1205370 1808055 2169666 3616110 5424165 10848330