Search a number
-
+
12765390 = 23511101383
BaseRepresentation
bin110000101100…
…100011001110
3220000112211020
4300230203032
511231443030
61133335010
7213334611
oct60544316
926015736
1012765390
117229910
124337466
13284c4b1
1419a4178
1511c2510
hexc2c8ce

12765390 has 64 divisors (see below), whose sum is σ = 33841152. Its totient is φ = 3056000.

The previous prime is 12765383. The next prime is 12765413. The reversal of 12765390 is 9356721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33139 + ... + 33521.

It is an arithmetic number, because the mean of its divisors is an integer number (528768).

Almost surely, 212765390 is an apocalyptic number.

12765390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12765390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920576).

12765390 is an abundant number, since it is smaller than the sum of its proper divisors (21075762).

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

12765390 is a wasteful number, since it uses less digits than its factorization.

12765390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 12765390 is about 3572.8685954006. The cubic root of 12765390 is about 233.7103948837.

It can be divided in two parts, 1276 and 5390, that added together give a palindrome (6666).

The spelling of 12765390 in words is "twelve million, seven hundred sixty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 383 505 606 766 1010 1111 1149 1515 1915 2222 2298 3030 3333 3830 4213 5555 5745 6666 8426 11110 11490 12639 16665 21065 25278 33330 38683 42130 63195 77366 116049 126390 193415 232098 386830 425513 580245 851026 1160490 1276539 2127565 2553078 4255130 6382695 12765390