Search a number
-
+
12045330 = 232511233
BaseRepresentation
bin101101111100…
…110000010010
3211122222002100
4231330300102
511040422310
61110101230
7204245403
oct55746022
924588070
1012045330
116887920
12404a816
13265981b
1418579aa
1510cdec0
hexb7cc12

12045330 has 96 divisors (see below), whose sum is σ = 35717760. Its totient is φ = 2793120.

The previous prime is 12045317. The next prime is 12045343. The reversal of 12045330 is 3354021.

12045330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12045317) and next prime (12045343).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523699 + ... + 523721.

It is an arithmetic number, because the mean of its divisors is an integer number (372060).

Almost surely, 212045330 is an apocalyptic number.

12045330 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 12045330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858880).

12045330 is an abundant number, since it is smaller than the sum of its proper divisors (23672430).

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

12045330 is a wasteful number, since it uses less digits than its factorization.

12045330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12045330 is about 3470.6382698288. The cubic root of 12045330 is about 229.2307634849.

Adding to 12045330 its reverse (3354021), we get a palindrome (15399351).

The spelling of 12045330 in words is "twelve million, forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 529 690 759 990 1035 1058 1265 1518 1587 2070 2277 2530 2645 3174 3795 4554 4761 5290 5819 7590 7935 9522 11385 11638 12167 15870 17457 22770 23805 24334 29095 34914 36501 47610 52371 58190 60835 73002 87285 104742 109503 121670 133837 174570 182505 219006 261855 267674 365010 401511 523710 547515 669185 803022 1095030 1204533 1338370 2007555 2409066 4015110 6022665 12045330