Search a number
-
+
12302730 = 23251117243
BaseRepresentation
bin101110111011…
…100110001010
3212011001011200
4232323212022
511122141410
61115405030
7206400006
oct56734612
925131150
1012302730
116a43250
124153776
132719a2b
1418c3706
1511303c0
hexbbb98a

12302730 has 144 divisors (see below), whose sum is σ = 37930464. Its totient is φ = 2741760.

The previous prime is 12302729. The next prime is 12302743. The reversal of 12302730 is 3720321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286089 + ... + 286131.

It is an arithmetic number, because the mean of its divisors is an integer number (263406).

Almost surely, 212302730 is an apocalyptic number.

12302730 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 12302730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965232).

12302730 is an abundant number, since it is smaller than the sum of its proper divisors (25627734).

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

12302730 is a wasteful number, since it uses less digits than its factorization.

12302730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

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

The square root of 12302730 is about 3507.5247682661. The cubic root of 12302730 is about 230.8521007504.

The spelling of 12302730 in words is "twelve million, three hundred two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 43 45 51 55 66 85 86 90 99 102 110 129 153 165 170 187 198 215 255 258 289 306 330 374 387 430 473 495 510 561 578 645 731 765 774 867 935 946 990 1122 1290 1419 1445 1462 1530 1683 1734 1870 1935 2193 2365 2601 2805 2838 2890 3179 3366 3655 3870 4257 4335 4386 4730 5202 5610 6358 6579 7095 7310 8041 8415 8514 8670 9537 10965 12427 13005 13158 14190 15895 16082 16830 19074 21285 21930 24123 24854 26010 28611 31790 32895 37281 40205 42570 47685 48246 57222 62135 65790 72369 74562 80410 95370 111843 120615 124270 136697 143055 144738 186405 223686 241230 273394 286110 361845 372810 410091 559215 683485 723690 820182 1118430 1230273 1366970 2050455 2460546 4100910 6151365 12302730