Search a number
-
+
11483130 = 2352967197
BaseRepresentation
bin101011110011…
…011111111010
3210121101220010
4223303133322
510414430010
61050042350
7166414341
oct53633772
923541803
1011483130
11653349a
123a193b6
1324c0969
14174cb58
15101c620
hexaf37fa

11483130 has 64 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 2897664.

The previous prime is 11483123. The next prime is 11483179. The reversal of 11483130 is 3138411.

It is a junction number, because it is equal to n+sod(n) for n = 11483097 and 11483106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58192 + ... + 58388.

It is an arithmetic number, because the mean of its divisors is an integer number (454410).

Almost surely, 211483130 is an apocalyptic number.

11483130 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 11483130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

11483130 is an abundant number, since it is smaller than the sum of its proper divisors (17599110).

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

11483130 is a wasteful number, since it uses less digits than its factorization.

11483130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11483130 is about 3388.6767328856. The cubic root of 11483130 is about 225.6074449910.

It can be divided in two parts, 1148 and 3130, that added together give a triangular number (4278 = T92).

The spelling of 11483130 in words is "eleven million, four hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 134 145 174 197 201 290 335 394 402 435 591 670 870 985 1005 1182 1943 1970 2010 2955 3886 5713 5829 5910 9715 11426 11658 13199 17139 19430 26398 28565 29145 34278 39597 57130 58290 65995 79194 85695 131990 171390 197985 382771 395970 765542 1148313 1913855 2296626 3827710 5741565 11483130