Search a number
-
+
1262144 = 26133741
BaseRepresentation
bin100110100001001000000
32101010100002
410310021000
5310342034
643015132
713504502
oct4641100
92333302
101262144
117922a4
1250a4a8
13352640
1424bd72
1519de7e
hex134240

1262144 has 56 divisors (see below), whose sum is σ = 2837688. Its totient is φ = 552960.

The previous prime is 1262143. The next prime is 1262147. The reversal of 1262144 is 4412621.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 1236544 = 160^2 + 1112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1262143) 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, 30764 + ... + 30804.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

21262144 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 1262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418844).

1262144 is an abundant number, since it is smaller than the sum of its proper divisors (1575544).

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

1262144 is a wasteful number, since it uses less digits than its factorization.

1262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 1262144 is about 1123.4518236222. The cubic root of 1262144 is about 108.0694569217.

Adding to 1262144 its reverse (4412621), we get a palindrome (5674765).

The spelling of 1262144 in words is "one million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 41 52 64 74 82 104 148 164 208 296 328 416 481 533 592 656 832 962 1066 1184 1312 1517 1924 2132 2368 2624 3034 3848 4264 6068 7696 8528 12136 15392 17056 19721 24272 30784 34112 39442 48544 78884 97088 157768 315536 631072 1262144