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12389380 = 2252941521
BaseRepresentation
bin101111010000…
…110000000100
3212022110000221
4233100300010
511132430010
61121314124
7210210433
oct57206004
925273027
1012389380
116aa2363
124195944
13274a2c3
14190711a
15114adda
hexbd0c04

12389380 has 48 divisors (see below), whose sum is σ = 27624240. Its totient is φ = 4659200.

The previous prime is 12389371. The next prime is 12389383. The reversal of 12389380 is 8398321.

It can be written as a sum of positive squares in 8 ways, for example, as 2353156 + 10036224 = 1534^2 + 3168^2 .

It is not an unprimeable number, because it can be changed into a prime (12389383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23520 + ... + 24040.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 212389380 is an apocalyptic number.

12389380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12389380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812120).

12389380 is an abundant number, since it is smaller than the sum of its proper divisors (15234860).

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

12389380 is a wasteful number, since it uses less digits than its factorization.

12389380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 12389380 is about 3519.8551106544. The cubic root of 12389380 is about 231.3928087952.

It can be divided in two parts, 12389 and 380, that added together give a square (12769 = 1132).

The spelling of 12389380 in words is "twelve million, three hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 521 580 820 1042 1189 2084 2378 2605 4756 5210 5945 10420 11890 15109 21361 23780 30218 42722 60436 75545 85444 106805 151090 213610 302180 427220 619469 1238938 2477876 3097345 6194690 12389380