Search a number
-
+
1255320 = 2332511317
BaseRepresentation
bin100110010011110011000
32100202222100
410302132120
5310132240
642523400
713445553
oct4623630
92322870
101255320
11788160
12506560
1334c4c1
1424969a
1519be30
hex132798

1255320 has 96 divisors (see below), whose sum is σ = 4464720. Its totient is φ = 303360.

The previous prime is 1255313. The next prime is 1255321. The reversal of 1255320 is 235521.

Added to its reverse (235521) it gives a square (1490841 = 12212).

It is a happy number.

1255320 is a nontrivial binomial coefficient, being equal to C(1585, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1255293 and 1255302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3802 + ... + 4118.

21255320 is an apocalyptic number.

1255320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1255320 is the 1584-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232360).

1255320 is an abundant number, since it is smaller than the sum of its proper divisors (3209400).

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

1255320 is a wasteful number, since it uses less digits than its factorization.

1255320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1255320 is about 1120.4106390070. The cubic root of 1255320 is about 107.8743394444.

Adding to 1255320 its reverse (235521), we get a square (1490841 = 12212).

It can be divided in two parts, 125 and 5320, that added together give a palindrome (5445).

The spelling of 1255320 in words is "one million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 317 330 360 396 440 495 634 660 792 951 990 1268 1320 1585 1902 1980 2536 2853 3170 3487 3804 3960 4755 5706 6340 6974 7608 9510 10461 11412 12680 13948 14265 17435 19020 20922 22824 27896 28530 31383 34870 38040 41844 52305 57060 62766 69740 83688 104610 114120 125532 139480 156915 209220 251064 313830 418440 627660 1255320