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1255331440 = 245112413163
BaseRepresentation
bin100101011010010…
…1101011001110000
310020111010110000001
41022310231121300
510032331101230
6324322035344
743052066266
oct11264553160
93214113001
101255331440
11594669100
122b04a8b54
131700c848c
14bca14436
157531a0ca
hex4ad2d670

1255331440 has 120 divisors (see below), whose sum is σ = 3287383344. Its totient is φ = 445209600.

The previous prime is 1255331431. The next prime is 1255331443. The reversal of 1255331440 is 441335521.

It is a junction number, because it is equal to n+sod(n) for n = 1255331399 and 1255331408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255331443) 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, 395299 + ... + 398461.

Almost surely, 21255331440 is an apocalyptic number.

1255331440 is a gapful number since it is divisible by the number (10) 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 1255331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643691672).

1255331440 is an abundant number, since it is smaller than the sum of its proper divisors (2032051904).

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

1255331440 is a wasteful number, since it uses less digits than its factorization.

1255331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1255331440 is about 35430.6567819452. The cubic root of 1255331440 is about 1078.7466713737.

Adding to 1255331440 its reverse (441335521), we get a palindrome (1696666961).

The spelling of 1255331440 in words is "one billion, two hundred fifty-five million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 121 164 176 205 220 242 328 410 440 451 484 605 656 820 880 902 968 1210 1640 1804 1936 2255 2420 3163 3280 3608 4510 4840 4961 6326 7216 9020 9680 9922 12652 15815 18040 19844 24805 25304 31630 34793 36080 39688 49610 50608 63260 69586 79376 99220 126520 129683 139172 173965 198440 253040 259366 278344 347930 382723 396880 518732 556688 648415 695860 765446 1037464 1296830 1391720 1426513 1530892 1913615 2074928 2593660 2783440 2853026 3061784 3827230 5187320 5706052 6123568 7132565 7654460 10374640 11412104 14265130 15308920 15691643 22824208 28530260 30617840 31383286 57060520 62766572 78458215 114121040 125533144 156916430 251066288 313832860 627665720 1255331440