Search a number
-
+
1380585024 = 263271326339
BaseRepresentation
bin101001001001010…
…0000111001000000
310120012210222121200
41102102200321000
510311412210044
6344554421200
746132531140
oct12222407100
93505728550
101380585024
11649338a65
12326431800
13190041720
14d14da920
158130c369
hex524a0e40

1380585024 has 168 divisors, whose sum is σ = 4870582080. Its totient is φ = 364096512.

The previous prime is 1380585023. The next prime is 1380585029. The reversal of 1380585024 is 4205850831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1380585024.

It is not an unprimeable number, because it can be changed into a prime (1380585023) 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, 39247 + ... + 65585.

It is an arithmetic number, because the mean of its divisors is an integer number (28991560).

Almost surely, 21380585024 is an apocalyptic number.

1380585024 is a gapful number since it is divisible by the number (14) 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 1380585024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435291040).

1380585024 is an abundant number, since it is smaller than the sum of its proper divisors (3489997056).

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

1380585024 is a wasteful number, since it uses less digits than its factorization.

1380585024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26377 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1380585024 is about 37156.2245660132. The cubic root of 1380585024 is about 1113.4935850058.

The spelling of 1380585024 in words is "one billion, three hundred eighty million, five hundred eighty-five thousand, twenty-four".