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12308016 = 243725233
BaseRepresentation
bin101110111100…
…111000110000
3212011022102110
4232330320300
511122324031
61115445320
7206421300
oct56747060
925138373
1012308016
116a47216
124156840
13271c266
1418c5600
151131c46
hexbbce30

12308016 has 60 divisors (see below), whose sum is σ = 36993912. Its totient is φ = 3515904.

The previous prime is 12308011. The next prime is 12308027. The reversal of 12308016 is 61080321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12307983 and 12308001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308011) 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 11 ways as a sum of consecutive naturals, for example, 265 + ... + 4968.

Almost surely, 212308016 is an apocalyptic number.

12308016 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 12308016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496956).

12308016 is an abundant number, since it is smaller than the sum of its proper divisors (24685896).

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

12308016 is a wasteful number, since it uses less digits than its factorization.

12308016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12308016 is about 3508.2782101766. The cubic root of 12308016 is about 230.8851587106.

Adding to 12308016 its reverse (61080321), we get a palindrome (73388337).

The spelling of 12308016 in words is "twelve million, three hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5233 10466 15699 20932 31398 36631 41864 62796 73262 83728 109893 125592 146524 219786 251184 256417 293048 439572 512834 586096 769251 879144 1025668 1538502 1758288 2051336 3077004 4102672 6154008 12308016