Search a number
-
+
1255775040 = 2632513171973
BaseRepresentation
bin100101011011001…
…1001101101000000
310020111221222111200
41022312121231000
510032434300130
6324335341200
743055624502
oct11266315500
93214858450
101255775040
11594941413
122b0681800
13170222370
14bcacbd72
15753a6760
hex4ad99b40

1255775040 has 336 divisors, whose sum is σ = 4927719888. Its totient is φ = 290783232.

The previous prime is 1255775021. The next prime is 1255775047. The reversal of 1255775040 is 405775521.

1255775040 is a `hidden beast` number, since 12 + 557 + 7 + 50 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89415936 + 1166359104 = 9456^2 + 34152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1255774986 and 1255775004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255775047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635494 + ... + 637466.

It is an arithmetic number, because the mean of its divisors is an integer number (14665833).

Almost surely, 21255775040 is an apocalyptic number.

1255775040 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 1255775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463859944).

1255775040 is an abundant number, since it is smaller than the sum of its proper divisors (3671944848).

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

1255775040 is a wasteful number, since it uses less digits than its factorization.

1255775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 1255775040 is about 35436.9163443999. The cubic root of 1255775040 is about 1078.8737229907.

The spelling of 1255775040 in words is "one billion, two hundred fifty-five million, seven hundred seventy-five thousand, forty".