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12239856 = 243329977
BaseRepresentation
bin101110101100…
…001111110000
3212000211221000
4232230033300
511113133411
61114202000
7206015466
oct56541760
925024830
1012239856
1169aaa92
124123300
1326c7225
1418a8836
15111b956
hexbac3f0

12239856 has 80 divisors (see below), whose sum is σ = 36381600. Its totient is φ = 3935232.

The previous prime is 12239839. The next prime is 12239861. The reversal of 12239856 is 65893221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12239856.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12040 + ... + 13016.

It is an arithmetic number, because the mean of its divisors is an integer number (454770).

Almost surely, 212239856 is an apocalyptic number.

12239856 is a gapful number since it is divisible by the number (16) 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 12239856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190800).

12239856 is an abundant number, since it is smaller than the sum of its proper divisors (24141744).

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

12239856 is a wasteful number, since it uses less digits than its factorization.

12239856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12239856 is about 3498.5505570164. The cubic root of 12239856 is about 230.4581667376.

The spelling of 12239856 in words is "twelve million, two hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 977 1044 1392 1566 1954 2088 2931 3132 3908 4176 5862 6264 7816 8793 11724 12528 15632 17586 23448 26379 28333 35172 46896 52758 56666 70344 84999 105516 113332 140688 169998 211032 226664 254997 339996 422064 453328 509994 679992 764991 1019988 1359984 1529982 2039976 3059964 4079952 6119928 12239856