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12439872 = 263323313
BaseRepresentation
bin101111011101…
…000101000000
3212102000022000
4233131011000
511141033442
61122344000
7210510564
oct57350500
925360260
1012439872
117027295
1241bb000
132767293
14191b6a4
15115ad4c
hexbdd140

12439872 has 112 divisors (see below), whose sum is σ = 38282880. Its totient is φ = 3953664.

The previous prime is 12439871. The next prime is 12439877. The reversal of 12439872 is 27893421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12439871) 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 15 ways as a sum of consecutive naturals, for example, 39588 + ... + 39900.

Almost surely, 212439872 is an apocalyptic number.

12439872 is a gapful number since it is divisible by the number (12) 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 12439872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141440).

12439872 is an abundant number, since it is smaller than the sum of its proper divisors (25843008).

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

12439872 is a wasteful number, since it uses less digits than its factorization.

12439872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12439872 is about 3527.0202721277. The cubic root of 12439872 is about 231.7067241488.

The spelling of 12439872 in words is "twelve million, four hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 313 368 414 432 552 576 621 626 736 828 864 939 1104 1242 1252 1472 1656 1728 1878 2208 2484 2504 2817 3312 3756 4416 4968 5008 5634 6624 7199 7512 8451 9936 10016 11268 13248 14398 15024 16902 19872 20032 21597 22536 28796 30048 33804 39744 43194 45072 57592 60096 64791 67608 86388 90144 115184 129582 135216 172776 180288 194373 230368 259164 270432 345552 388746 460736 518328 540864 691104 777492 1036656 1382208 1554984 2073312 3109968 4146624 6219936 12439872