Search a number
-
+
12620328 = 2337431747
BaseRepresentation
bin110000001001…
…001000101000
3212202011211120
4300021020220
511212322303
61130255240
7212161650
oct60111050
925664746
1012620328
11713a926
124287520
1327cb466
141967360
151194553
hexc09228

12620328 has 64 divisors (see below), whose sum is σ = 36917760. Its totient is φ = 3519936.

The previous prime is 12620323. The next prime is 12620339. The reversal of 12620328 is 82302621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12620298 and 12620307.

It is not an unprimeable number, because it can be changed into a prime (12620323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (576840).

Almost surely, 212620328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12620328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458880).

12620328 is an abundant number, since it is smaller than the sum of its proper divisors (24297432).

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

12620328 is a wasteful number, since it uses less digits than its factorization.

12620328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12620328 is about 3552.5100985078. The cubic root of 12620328 is about 232.8217490102.

Adding to 12620328 its reverse (82302621), we get a palindrome (94922949).

The spelling of 12620328 in words is "twelve million, six hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1747 1806 2408 3494 3612 5241 6988 7224 10482 12229 13976 20964 24458 36687 41928 48916 73374 75121 97832 146748 150242 225363 293496 300484 450726 525847 600968 901452 1051694 1577541 1802904 2103388 3155082 4206776 6310164 12620328