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12840219 = 3271719631
BaseRepresentation
bin110000111110…
…110100011011
3220011100110200
4300332310123
511241341334
61135113243
7214066020
oct60766433
926140420
1012840219
117280057
124372823
132877582
1419c3547
1511d9799
hexc3ed1b

12840219 has 48 divisors (see below), whose sum is σ = 23662080. Its totient is φ = 6531840.

The previous prime is 12840211. The next prime is 12840241. The reversal of 12840219 is 91204821.

It is not a de Polignac number, because 12840219 - 23 = 12840211 is a prime.

It is a super-2 number, since 2×128402192 = 329742447935922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12840192 and 12840201.

It is not an unprimeable number, because it can be changed into a prime (12840211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20034 + ... + 20664.

It is an arithmetic number, because the mean of its divisors is an integer number (492960).

Almost surely, 212840219 is an apocalyptic number.

12840219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12840219 is a deficient number, since it is larger than the sum of its proper divisors (10821861).

12840219 is a wasteful number, since it uses less digits than its factorization.

12840219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12840219 is about 3583.3251317736. The cubic root of 12840219 is about 234.1661651240.

The spelling of 12840219 in words is "twelve million, eight hundred forty thousand, two hundred nineteen".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 631 969 1071 1197 1893 2261 2907 4417 5679 6783 10727 11989 13251 20349 32181 35967 39753 75089 83923 96543 107901 203813 225267 251769 611439 675801 755307 1426691 1834317 4280073 12840219