Search a number
-
+
1380208896 = 2835112017
BaseRepresentation
bin101001001000100…
…0101000100000000
310120012002212200000
41102101011010000
510311313141041
6344542400000
746126403433
oct12221050400
93505085600
101380208896
11649101410
12326290000
1318cc3c471
14d143d81a
1581285bb6
hex52445100

1380208896 has 216 divisors, whose sum is σ = 4504272864. Its totient is φ = 418037760.

The previous prime is 1380208873. The next prime is 1380208897. The reversal of 1380208896 is 6988020831.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (1380208897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683280 + ... + 685296.

Almost surely, 21380208896 is an apocalyptic number.

1380208896 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 1380208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252136432).

1380208896 is an abundant number, since it is smaller than the sum of its proper divisors (3124063968).

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

1380208896 is an equidigital number, since it uses as much as digits as its factorization.

1380208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1380208896 is about 37151.1627812643. The cubic root of 1380208896 is about 1113.3924553765.

It can be divided in two parts, 1380 and 208896, that added together give a triangular number (210276 = T648).

The spelling of 1380208896 in words is "one billion, three hundred eighty million, two hundred eight thousand, eight hundred ninety-six".