Search a number
-
+
1249050240 = 2733541243
BaseRepresentation
bin100101001110010…
…1111111010000000
310020001022022211000
41022130233322000
510024224101430
6323535252000
742644515614
oct11234577200
93201268730
101249050240
11591068a29
122aa37a000
1316ba094a9
14bbc5b344
15749c8e60
hex4a72fe80

1249050240 has 384 divisors, whose sum is σ = 4639694400. Its totient is φ = 317399040.

The previous prime is 1249050211. The next prime is 1249050251. The reversal of 1249050240 is 420509421.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29047659 + ... + 29047701.

Almost surely, 21249050240 is an apocalyptic number.

1249050240 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 1249050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319847200).

1249050240 is an abundant number, since it is smaller than the sum of its proper divisors (3390644160).

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

1249050240 is an equidigital number, since it uses as much as digits as its factorization.

1249050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1249050240 is about 35341.9048722618. The cubic root of 1249050240 is about 1076.9444497694.

Adding to 1249050240 its reverse (420509421), we get a palindrome (1669559661).

The spelling of 1249050240 in words is "one billion, two hundred forty-nine million, fifty thousand, two hundred forty".