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12339864 = 2334137139
BaseRepresentation
bin101111000100…
…101010011000
3212012221010000
4233010222120
511124333424
61120253000
7206613165
oct57045230
925187100
1012339864
116a69139
124171160
1327308c4
1418d306c
15113b3c9
hexbc4a98

12339864 has 80 divisors (see below), whose sum is σ = 35065800. Its totient is φ = 4053888.

The previous prime is 12339863. The next prime is 12339889. The reversal of 12339864 is 46893321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12339863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88707 + ... + 88845.

Almost surely, 212339864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12339864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532900).

12339864 is an abundant number, since it is smaller than the sum of its proper divisors (22725936).

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

12339864 is a wasteful number, since it uses less digits than its factorization.

12339864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12339864 is about 3512.8142564047. The cubic root of 12339864 is about 231.0841319454.

It can be divided in two parts, 12339 and 864, that added together give a triangular number (13203 = T162).

The spelling of 12339864 in words is "twelve million, three hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 139 162 216 274 278 324 411 417 548 556 648 822 834 1096 1112 1233 1251 1644 1668 2466 2502 3288 3336 3699 3753 4932 5004 7398 7506 9864 10008 11097 11259 14796 15012 19043 22194 22518 29592 30024 38086 44388 45036 57129 76172 88776 90072 114258 152344 171387 228516 342774 457032 514161 685548 1028322 1371096 1542483 2056644 3084966 4113288 6169932 12339864