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12320406 = 2327277353
BaseRepresentation
bin101110111111…
…111010010110
3212011221102100
4232333322112
511123223111
61120022530
7206502360
oct56777226
925157370
1012320406
116a5555a
124161a46
132724aa7
1418c9d30
151135756
hexbbfe96

12320406 has 48 divisors (see below), whose sum is σ = 30704544. Its totient is φ = 3497472.

The previous prime is 12320401. The next prime is 12320411. The reversal of 12320406 is 60402321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12320401) and next prime (12320411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34726 + ... + 35078.

It is an arithmetic number, because the mean of its divisors is an integer number (639678).

Almost surely, 212320406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352272).

12320406 is an abundant number, since it is smaller than the sum of its proper divisors (18384138).

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

12320406 is a wasteful number, since it uses less digits than its factorization.

12320406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12320406 is about 3510.0435894729. The cubic root of 12320406 is about 230.9626070918.

Adding to 12320406 its reverse (60402321), we get a palindrome (72722727).

The spelling of 12320406 in words is "twelve million, three hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 353 554 706 831 1059 1662 1939 2118 2471 2493 3177 3878 4942 4986 5817 6354 7413 11634 14826 17451 22239 34902 44478 97781 195562 293343 586686 684467 880029 1368934 1760058 2053401 4106802 6160203 12320406