Search a number
-
+
11645130 = 2357232411
BaseRepresentation
bin101100011011…
…000011001010
3210220122010010
4230123003022
510440121010
61053332350
7200660550
oct54330312
923818103
1011645130
116634182
123a970b6
132549613
141791bd0
151050620
hexb1b0ca

11645130 has 64 divisors (see below), whose sum is σ = 33343488. Its totient is φ = 2544960.

The previous prime is 11645113. The next prime is 11645147. The reversal of 11645130 is 3154611.

It is an interprime number because it is at equal distance from previous prime (11645113) and next prime (11645147).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11645097 and 11645106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3625 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (520992).

Almost surely, 211645130 is an apocalyptic number.

11645130 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 11645130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671744).

11645130 is an abundant number, since it is smaller than the sum of its proper divisors (21698358).

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

11645130 is a wasteful number, since it uses less digits than its factorization.

11645130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 11645130 is about 3412.4961538440. The cubic root of 11645130 is about 226.6634250786.

Adding to 11645130 its reverse (3154611), we get a palindrome (14799741).

The spelling of 11645130 in words is "eleven million, six hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2411 2415 4822 4830 7233 12055 14466 16877 24110 33754 36165 50631 55453 72330 84385 101262 110906 166359 168770 253155 277265 332718 388171 506310 554530 776342 831795 1164513 1663590 1940855 2329026 3881710 5822565 11645130