Search a number
-
+
1369130880 = 273513192887
BaseRepresentation
bin101000110011011…
…0100011110000000
310112102021001111010
41101212310132000
510300444142010
6343505120520
745633264135
oct12146643600
93472231433
101369130880
11642925327
12322629140
1318a861020
14cdb9858c
15802e8620
hex519b4780

1369130880 has 256 divisors, whose sum is σ = 4948876800. Its totient is φ = 319168512.

The previous prime is 1369130849. The next prime is 1369130897. The reversal of 1369130880 is 880319631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472797 + ... + 475683.

It is an arithmetic number, because the mean of its divisors is an integer number (19331550).

Almost surely, 21369130880 is an apocalyptic number.

1369130880 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 1369130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474438400).

1369130880 is an abundant number, since it is smaller than the sum of its proper divisors (3579745920).

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

1369130880 is a wasteful number, since it uses less digits than its factorization.

1369130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1369130880 is about 37001.7686063788. The cubic root of 1369130880 is about 1110.4056305029.

The spelling of 1369130880 in words is "one billion, three hundred sixty-nine million, one hundred thirty thousand, eight hundred eighty".