Search a number
-
+
1339700960 = 255133179263
BaseRepresentation
bin100111111011010…
…0011011011100000
310110100212212020002
41033312203123200
510220430412320
6340534235132
745125161463
oct11766433340
93410785202
101339700960
11628254184
123147b5aa8
13184728680
14c9cd72da
157c933675
hex4fda36e0

1339700960 has 192 divisors, whose sum is σ = 3576545280. Its totient is φ = 470845440.

The previous prime is 1339700959. The next prime is 1339700983. The reversal of 1339700960 is 690079331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5093789 + ... + 5094051.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 21339700960 is an apocalyptic number.

1339700960 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 1339700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788272640).

1339700960 is an abundant number, since it is smaller than the sum of its proper divisors (2236844320).

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

1339700960 is a wasteful number, since it uses less digits than its factorization.

1339700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 1339700960 is about 36601.9256324035. The cubic root of 1339700960 is about 1102.3917544636.

The spelling of 1339700960 in words is "one billion, three hundred thirty-nine million, seven hundred thousand, nine hundred sixty".