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12849030 = 234529547
BaseRepresentation
bin110001000000…
…111110000110
3220011210120000
4301000332012
511242132110
61135222130
7214133505
oct61007606
926153500
1012849030
117286737
124377946
13287b59c
1419c683c
1511dc1c0
hexc40f86

12849030 has 80 divisors (see below), whose sum is σ = 35806320. Its totient is φ = 3302208.

The previous prime is 12849017. The next prime is 12849041. The reversal of 12849030 is 3094821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12848985 and 12849003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23217 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (447579).

Almost surely, 212849030 is an apocalyptic number.

12849030 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 12849030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903160).

12849030 is an abundant number, since it is smaller than the sum of its proper divisors (22957290).

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

12849030 is a wasteful number, since it uses less digits than its factorization.

12849030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12849030 is about 3584.5543656081. The cubic root of 12849030 is about 234.2197147384.

It can be divided in two parts, 1284 and 9030, that multiplied together give a triangular number (11594520 = T4815).

The spelling of 12849030 in words is "twelve million, eight hundred forty-nine thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 547 783 810 870 1094 1305 1566 1641 2349 2610 2735 3282 3915 4698 4923 5470 7830 8205 9846 11745 14769 15863 16410 23490 24615 29538 31726 44307 47589 49230 73845 79315 88614 95178 142767 147690 158630 221535 237945 285534 428301 443070 475890 713835 856602 1284903 1427670 2141505 2569806 4283010 6424515 12849030