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12328638 = 2371731557
BaseRepresentation
bin101111000001…
…111010111110
3212012100201020
4233001322332
511124004023
61120125010
7206535360
oct57017276
925170636
1012328638
116a60763
124166766
13272876a
1418ccd30
151137de3
hexbc1ebe

12328638 has 64 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 3202560.

The previous prime is 12328637. The next prime is 12328643. The reversal of 12328638 is 83682321.

It is a junction number, because it is equal to n+sod(n) for n = 12328599 and 12328608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21856 + ... + 22412.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 212328638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12328638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

12328638 is an abundant number, since it is smaller than the sum of its proper divisors (18526530).

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

12328638 is a wasteful number, since it uses less digits than its factorization.

12328638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its digits is 13824, while the sum is 33.

The square root of 12328638 is about 3511.2160286715. The cubic root of 12328638 is about 231.0140356158.

It can be divided in two parts, 1232 and 8638, that added together give a triangular number (9870 = T140).

The spelling of 12328638 in words is "twelve million, three hundred twenty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 557 651 714 1054 1114 1302 1581 1671 3162 3342 3689 3899 7378 7798 9469 11067 11697 17267 18938 22134 23394 28407 34534 51801 56814 66283 103602 120869 132566 198849 241738 293539 362607 397698 587078 725214 880617 1761234 2054773 4109546 6164319 12328638