Search a number
-
+
12651040 = 255372137
BaseRepresentation
bin110000010000…
…101000100000
3212210201222001
4300100220200
511214313130
61131053344
7212350333
oct60205040
925721861
1012651040
117160a06
1242a1254
13280c42c
14197461a
15119d6ca
hexc10a20

12651040 has 48 divisors (see below), whose sum is σ = 30710232. Its totient is φ = 4921344.

The previous prime is 12651019. The next prime is 12651049. The reversal of 12651040 is 4015621.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 3139984 = 3084^2 + 1772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12650999 and 12651017.

It is not an unprimeable number, because it can be changed into a prime (12651049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4852 + ... + 6988.

Almost surely, 212651040 is an apocalyptic number.

12651040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355116).

12651040 is an abundant number, since it is smaller than the sum of its proper divisors (18059192).

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

12651040 is a wasteful number, since it uses less digits than its factorization.

12651040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 12651040 is about 3556.8300493557. The cubic root of 12651040 is about 233.0104559154.

Adding to 12651040 its reverse (4015621), we get a palindrome (16666661).

The spelling of 12651040 in words is "twelve million, six hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2137 2960 4274 5920 8548 10685 17096 21370 34192 42740 68384 79069 85480 158138 170960 316276 341920 395345 632552 790690 1265104 1581380 2530208 3162760 6325520 12651040