Search a number
-
+
12323130 = 2351773331
BaseRepresentation
bin101111000000…
…100100111010
3212012002011020
4233000210322
511123320010
61120043310
7206513331
oct57004472
925162136
1012323130
116a57606
124163536
1327260c1
1418cad18
151136470
hexbc093a

12323130 has 64 divisors (see below), whose sum is σ = 31840128. Its totient is φ = 3041280.

The previous prime is 12323107. The next prime is 12323141. The reversal of 12323130 is 3132321.

12323130 is a nontrivial binomial coefficient, being equal to C(4965, 2).

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

It is a Curzon number.

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, 37065 + ... + 37395.

It is an arithmetic number, because the mean of its divisors is an integer number (497502).

Almost surely, 212323130 is an apocalyptic number.

12323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12323130 is the 4964-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920064).

12323130 is an abundant number, since it is smaller than the sum of its proper divisors (19516998).

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

12323130 is a wasteful number, since it uses less digits than its factorization.

12323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12323130 is about 3510.4315973965. The cubic root of 12323130 is about 230.9796275206.

Adding to 12323130 its reverse (3132321), we get a palindrome (15455451).

The spelling of 12323130 in words is "twelve million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 146 170 219 255 331 365 438 510 662 730 993 1095 1241 1655 1986 2190 2482 3310 3723 4965 5627 6205 7446 9930 11254 12410 16881 18615 24163 28135 33762 37230 48326 56270 72489 84405 120815 144978 168810 241630 362445 410771 724890 821542 1232313 2053855 2464626 4107710 6161565 12323130