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12819380 = 22572103127
BaseRepresentation
bin110000111001…
…101110110100
3220010021212212
4300321232310
511240210010
61134432552
7213651200
oct60715664
926107785
1012819380
117266432
124362758
13286ac42
1419b9b00
1511d3505
hexc39bb4

12819380 has 72 divisors (see below), whose sum is σ = 31868928. Its totient is φ = 4318272.

The previous prime is 12819379. The next prime is 12819383. The reversal of 12819380 is 8391821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12819383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100877 + ... + 101003.

It is an arithmetic number, because the mean of its divisors is an integer number (442624).

Almost surely, 212819380 is an apocalyptic number.

12819380 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 12819380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464).

12819380 is an abundant number, since it is smaller than the sum of its proper divisors (19049548).

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

12819380 is a wasteful number, since it uses less digits than its factorization.

12819380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 12819380 is about 3580.4161769269. The cubic root of 12819380 is about 234.0394167413.

The spelling of 12819380 in words is "twelve million, eight hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 127 140 196 206 245 254 412 490 508 515 635 721 889 980 1030 1270 1442 1778 2060 2540 2884 3556 3605 4445 5047 6223 7210 8890 10094 12446 13081 14420 17780 20188 24892 25235 26162 31115 50470 52324 62230 65405 91567 100940 124460 130810 183134 261620 366268 457835 640969 915670 1281938 1831340 2563876 3204845 6409690 12819380