Search a number
-
+
1395331056 = 243372292273
BaseRepresentation
bin101001100101011…
…0000111111110000
310121020120011101000
41103022300333300
510324201043211
6350242442000
746402055400
oct12312607760
93536504330
101395331056
1165669a969
1232b363300
131931055a2
14d3458800
1582771656
hex532b0ff0

1395331056 has 240 divisors, whose sum is σ = 4821789600. Its totient is φ = 384749568.

The previous prime is 1395331043. The next prime is 1395331057. The reversal of 1395331056 is 6501335931.

1395331056 is a `hidden beast` number, since 13 + 9 + 533 + 105 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1395331056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395331057) 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, 612736 + ... + 615008.

It is an arithmetic number, because the mean of its divisors is an integer number (20090790).

Almost surely, 21395331056 is an apocalyptic number.

1395331056 is a gapful number since it is divisible by the number (16) 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 1395331056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410894800).

1395331056 is an abundant number, since it is smaller than the sum of its proper divisors (3426458544).

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

1395331056 is a wasteful number, since it uses less digits than its factorization.

1395331056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 1395331056 is about 37354.1303740296. The cubic root of 1395331056 is about 1117.4439627772.

Adding to 1395331056 its reverse (6501335931), we get a palindrome (7896666987).

The spelling of 1395331056 in words is "one billion, three hundred ninety-five million, three hundred thirty-one thousand, fifty-six".