Search a number
-
+
1243296 = 25331439
BaseRepresentation
bin100101111100010100000
32100011111000
410233202200
5304241141
642352000
713365525
oct4574240
92304430
101243296
1177a11a
124bb600
13346ba2
1424514c
151985b6
hex12f8a0

1243296 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 414144.

The previous prime is 1243273. The next prime is 1243309. The reversal of 1243296 is 6923421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

21243296 is an apocalyptic number.

1243296 is a gapful number since it is divisible by the number (16) 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 1243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1243296 is an abundant number, since it is smaller than the sum of its proper divisors (2385504).

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

1243296 is a wasteful number, since it uses less digits than its factorization.

1243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1243296 is about 1115.0318381105. The cubic root of 1243296 is about 107.5288114590.

The spelling of 1243296 in words is "one million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1439 2878 4317 5756 8634 11512 12951 17268 23024 25902 34536 38853 46048 51804 69072 77706 103608 138144 155412 207216 310824 414432 621648 1243296