Search a number
-
+
10811130 = 235111812
BaseRepresentation
bin101001001111…
…011011111010
3202100021002020
4221033123322
510231424010
61023415310
7160615221
oct51173372
922307066
1010811130
116114620
123754536
132316b25
141615cb8
15e38470
hexa4f6fa

10811130 has 48 divisors (see below), whose sum is σ = 28462752. Its totient is φ = 2606400.

The previous prime is 10811123. The next prime is 10811131. The reversal of 10811130 is 3111801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10811131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59640 + ... + 59820.

It is an arithmetic number, because the mean of its divisors is an integer number (592974).

Almost surely, 210811130 is an apocalyptic number.

10811130 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 10811130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231376).

10811130 is an abundant number, since it is smaller than the sum of its proper divisors (17651622).

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

10811130 is a wasteful number, since it uses less digits than its factorization.

10811130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 10811130 is about 3288.0282845499. The cubic root of 10811130 is about 221.1177958319.

Adding to 10811130 its reverse (3111801), we get a palindrome (13922931).

It can be divided in two parts, 1081 and 1130, that added together give a triangular number (2211 = T66).

The spelling of 10811130 in words is "ten million, eight hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 181 330 362 543 905 1086 1810 1991 2715 3982 5430 5973 9955 11946 19910 29865 32761 59730 65522 98283 163805 196566 327610 360371 491415 720742 982830 1081113 1801855 2162226 3603710 5405565 10811130