Search a number
-
+
12754944 = 21332173
BaseRepresentation
bin110000101010…
…000000000000
3220000000111100
4300222000000
511231124234
61133214400
7213262266
oct60520000
926000440
1012754944
117221a84
124331400
132847807
1419a0436
1511be399
hexc2a000

12754944 has 84 divisors (see below), whose sum is σ = 37058346. Its totient is φ = 4227072.

The previous prime is 12754943. The next prime is 12754957. The reversal of 12754944 is 44945721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 4460544 = 2880^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 12754899 and 12754908.

It is not an unprimeable number, because it can be changed into a prime (12754943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73642 + ... + 73814.

Almost surely, 212754944 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 12754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529173).

12754944 is an abundant number, since it is smaller than the sum of its proper divisors (24303402).

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

12754944 is an equidigital number, since it uses as much as digits as its factorization.

12754944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12754944 is about 3571.4064456457. The cubic root of 12754944 is about 233.6466285852.

The spelling of 12754944 in words is "twelve million, seven hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1024 1038 1152 1384 1536 1557 2048 2076 2304 2768 3072 3114 4096 4152 4608 5536 6144 6228 8192 8304 9216 11072 12288 12456 16608 18432 22144 24576 24912 33216 36864 44288 49824 66432 73728 88576 99648 132864 177152 199296 265728 354304 398592 531456 708608 797184 1062912 1417216 1594368 2125824 3188736 4251648 6377472 12754944