[go: up one dir, main page]

Search a number
-
+
11132730 = 2325741431
BaseRepresentation
bin101010011101…
…111100111010
3202221121020100
4222131330322
510322221410
61034340230
7163424640
oct52357472
922847210
1011132730
116314204
12388a676
1323ca31b
14169b190
15e9d8c0
hexa9df3a

11132730 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2476800.

The previous prime is 11132717. The next prime is 11132731. The reversal of 11132730 is 3723111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11132731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25615 + ... + 26045.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 211132730 is an apocalyptic number.

11132730 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 11132730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

11132730 is an abundant number, since it is smaller than the sum of its proper divisors (22832838).

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

11132730 is a wasteful number, since it uses less digits than its factorization.

11132730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11132730 is about 3336.5745908042. The cubic root of 11132730 is about 223.2889468979.

Adding to 11132730 its reverse (3723111), we get a palindrome (14855841).

The spelling of 11132730 in words is "eleven million, one hundred thirty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 431 574 615 630 738 861 862 1230 1293 1435 1722 1845 2155 2583 2586 2870 3017 3690 3879 4305 4310 5166 6034 6465 7758 8610 9051 12915 12930 15085 17671 18102 19395 25830 27153 30170 35342 38790 45255 53013 54306 88355 90510 106026 123697 135765 159039 176710 247394 265065 271530 318078 371091 530130 618485 742182 795195 1113273 1236970 1590390 1855455 2226546 3710910 5566365 11132730