Search a number
-
+
1380117024 = 25321113233147
BaseRepresentation
bin101001001000010…
…1110101000100000
310120011221012122100
41102100232220200
510311302221044
6344540410400
746125541536
oct12220565040
93504835570
101380117024
11649049390
12326246a00
1318cc096c0
14d1418156
1581268869
hex5242ea20

1380117024 has 576 divisors, whose sum is σ = 5072191488. Its totient is φ = 349747200.

The previous prime is 1380117023. The next prime is 1380117061. The reversal of 1380117024 is 4207110831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380117023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29364169 + ... + 29364215.

It is an arithmetic number, because the mean of its divisors is an integer number (8805888).

Almost surely, 21380117024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380117024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744).

1380117024 is an abundant number, since it is smaller than the sum of its proper divisors (3692074464).

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

1380117024 is a wasteful number, since it uses less digits than its factorization.

1380117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1380117024 is about 37149.9262987156. The cubic root of 1380117024 is about 1113.3677509370.

Adding to 1380117024 its reverse (4207110831), we get a palindrome (5587227855).

The spelling of 1380117024 in words is "one billion, three hundred eighty million, one hundred seventeen thousand, twenty-four".