Search a number
-
+
1386056320 = 27511475971
BaseRepresentation
bin101001010011101…
…1000101010000000
310120121002221211021
41102213120222000
510314312300240
6345311555224
746230166345
oct12247305200
93517087737
101386056320
116514356a0
1232822bb14
13191208b8c
14d21227cc
1581a3d54a
hex529d8a80

1386056320 has 256 divisors, whose sum is σ = 3807129600. Its totient is φ = 478105600.

The previous prime is 1386056299. The next prime is 1386056351. The reversal of 1386056320 is 236506831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19521885 + ... + 19521955.

It is an arithmetic number, because the mean of its divisors is an integer number (14871600).

Almost surely, 21386056320 is an apocalyptic number.

1386056320 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 1386056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903564800).

1386056320 is an abundant number, since it is smaller than the sum of its proper divisors (2421073280).

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

1386056320 is a wasteful number, since it uses less digits than its factorization.

1386056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1386056320 is about 37229.7773294442. Note that the first 3 decimals coincide. The cubic root of 1386056320 is about 1114.9625812749.

The spelling of 1386056320 in words is "one billion, three hundred eighty-six million, fifty-six thousand, three hundred twenty".