Search a number
-
+
1255956240 = 243573111973
BaseRepresentation
bin100101011011100…
…0101111100010000
310020112022012001210
41022313011330100
510033011044430
6324343300120
743060311000
oct11267057420
93215265053
101255956240
11594a55570
122b074a640
13170286996
14bcb38000
15753e02b0
hex4adc5f10

1255956240 has 640 divisors, whose sum is σ = 5285376000. Its totient is φ = 243855360.

The previous prime is 1255956203. The next prime is 1255956253. The reversal of 1255956240 is 426595521.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17204844 + ... + 17204916.

It is an arithmetic number, because the mean of its divisors is an integer number (8258400).

Almost surely, 21255956240 is an apocalyptic number.

1255956240 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 1255956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642688000).

1255956240 is an abundant number, since it is smaller than the sum of its proper divisors (4029419760).

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

1255956240 is a wasteful number, since it uses less digits than its factorization.

1255956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 1255956240 is about 35439.4729080442. The cubic root of 1255956240 is about 1078.9256119332.

The spelling of 1255956240 in words is "one billion, two hundred fifty-five million, nine hundred fifty-six thousand, two hundred forty".