Search a number
-
+
1260896 = 25713433
BaseRepresentation
bin100110011110101100000
32101001121212
410303311200
5310322041
643005252
713501040
oct4636540
92331555
101260896
1179136a
12509828
13351bc0
1424b720
1519d8eb
hex133d60

1260896 has 48 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 497664.

The previous prime is 1260893. The next prime is 1260899. The reversal of 1260896 is 6980621.

It is an interprime number because it is at equal distance from previous prime (1260893) and next prime (1260899).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260893) 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, 2696 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

21260896 is an apocalyptic number.

1260896 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 1260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1260896 is an abundant number, since it is smaller than the sum of its proper divisors (1801408).

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

1260896 is a wasteful number, since it uses less digits than its factorization.

1260896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1260896 is about 1122.8962552257. The cubic root of 1260896 is about 108.0338257101.

The spelling of 1260896 in words is "one million, two hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 433 728 866 1456 1732 2912 3031 3464 5629 6062 6928 11258 12124 13856 22516 24248 39403 45032 48496 78806 90064 96992 157612 180128 315224 630448 1260896