Search a number
-
+
1380761760 = 2535717231051
BaseRepresentation
bin101001001001100…
…1100000010100000
310120020010222001110
41102103030002200
510311433334020
6345002303320
746134165330
oct12223140240
93506128043
101380761760
11649449824
123264b7b40
131900a3cc1
14d15450c0
15813448e0
hex524cc0a0

1380761760 has 384 divisors, whose sum is σ = 5497196544. Its totient is φ = 283852800.

The previous prime is 1380761713. The next prime is 1380761773. The reversal of 1380761760 is 671670831.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313235 + ... + 1314285.

It is an arithmetic number, because the mean of its divisors is an integer number (14315616).

Almost surely, 21380761760 is an apocalyptic number.

1380761760 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 1380761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748598272).

1380761760 is an abundant number, since it is smaller than the sum of its proper divisors (4116434784).

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

1380761760 is a wasteful number, since it uses less digits than its factorization.

1380761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1380761760 is about 37158.6027724402. The cubic root of 1380761760 is about 1113.5410977152.

The spelling of 1380761760 in words is "one billion, three hundred eighty million, seven hundred sixty-one thousand, seven hundred sixty".