Search a number
-
+
12509328 = 2431320047
BaseRepresentation
bin101111101110…
…000010010000
3212112112120110
4233232002100
511200244303
61124041320
7211220226
oct57560220
925475513
1012509328
117074497
124233240
13278ca90
141938b16
151171703
hexbee090

12509328 has 40 divisors (see below), whose sum is σ = 34803328. Its totient is φ = 3848832.

The previous prime is 12509327. The next prime is 12509347. The reversal of 12509328 is 82390521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12509295 and 12509304.

It is not an unprimeable number, because it can be changed into a prime (12509327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9400 + ... + 10647.

Almost surely, 212509328 is an apocalyptic number.

It is an amenable number.

12509328 is an abundant number, since it is smaller than the sum of its proper divisors (22294000).

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

12509328 is a wasteful number, since it uses less digits than its factorization.

12509328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12509328 is about 3536.8528383296. The cubic root of 12509328 is about 232.1371563142.

Adding to 12509328 its reverse (82390521), we get a palindrome (94899849).

The spelling of 12509328 in words is "twelve million, five hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 20047 40094 60141 80188 120282 160376 240564 260611 320752 481128 521222 781833 962256 1042444 1563666 2084888 3127332 4169776 6254664 12509328