Search a number
-
+
12287730 = 2357213643
BaseRepresentation
bin101110110111…
…111011110010
3212010021121010
4232313323302
511121201410
61115211350
7206305200
oct56677362
925107533
1012287730
116a32a54
124146b56
132712c60
1418bc070
15112ac20
hexbb7ef2

12287730 has 96 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 2588544.

The previous prime is 12287711. The next prime is 12287767. The reversal of 12287730 is 3778221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18789 + ... + 19431.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 212287730 is an apocalyptic number.

12287730 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 12287730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

12287730 is an abundant number, since it is smaller than the sum of its proper divisors (24713934).

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

12287730 is a wasteful number, since it uses less digits than its factorization.

12287730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 12287730 is about 3505.3858560792. The cubic root of 12287730 is about 230.7582411006.

The spelling of 12287730 in words is "twelve million, two hundred eighty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 643 735 910 1274 1286 1365 1470 1911 1929 2730 3185 3215 3822 3858 4501 6370 6430 8359 9002 9555 9645 13503 16718 19110 19290 22505 25077 27006 31507 41795 45010 50154 58513 63014 67515 83590 94521 117026 125385 135030 157535 175539 189042 250770 292565 315070 351078 409591 472605 585130 819182 877695 945210 1228773 1755390 2047955 2457546 4095910 6143865 12287730