Search a number
-
+
12203730 = 2335711587
BaseRepresentation
bin101110100011…
…011011010010
3211222000101000
4232203123102
511111004410
61113322430
7205505250
oct56433322
924860330
1012203730
116985930
124106416
1326b3956
1418995d0
151110dc0
hexba36d2

12203730 has 128 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 2531520.

The previous prime is 12203699. The next prime is 12203753. The reversal of 12203730 is 3730221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20497 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 212203730 is an apocalyptic number.

12203730 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 12203730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12203730 is an abundant number, since it is smaller than the sum of its proper divisors (28438830).

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

12203730 is a wasteful number, since it uses less digits than its factorization.

12203730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 12203730 is about 3493.3837464556. The cubic root of 12203730 is about 230.2312104690.

Adding to 12203730 its reverse (3730221), we get a palindrome (15933951).

It can be divided in two parts, 1220 and 3730, that added together give a triangular number (4950 = T99).

The spelling of 12203730 in words is "twelve million, two hundred three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 587 594 630 693 770 945 990 1155 1174 1386 1485 1761 1890 2079 2310 2935 2970 3465 3522 4109 4158 5283 5870 6457 6930 8218 8805 10395 10566 12327 12914 15849 17610 19371 20545 20790 24654 26415 31698 32285 36981 38742 41090 45199 52830 58113 61635 64570 73962 79245 90398 96855 110943 116226 123270 135597 158490 174339 184905 193710 221886 225995 271194 290565 348678 369810 406791 451990 554715 581130 677985 813582 871695 1109430 1220373 1355970 1743390 2033955 2440746 4067910 6101865 12203730