Search a number
-
+
1380534792 = 2337132971307
BaseRepresentation
bin101001001001001…
…0100101000001000
310120012201102201020
41102102110220020
510311404103132
6344553352440
746132231530
oct12222245010
93505642636
101380534792
1164930424a
12326408720
131900248c0
14d14c64c0
15812ec52c
hex52494a08

1380534792 has 256 divisors, whose sum is σ = 4470681600. Its totient is φ = 345461760.

The previous prime is 1380534781. The next prime is 1380534829. The reversal of 1380534792 is 2974350831.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4496703 + ... + 4497009.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 21380534792 is an apocalyptic number.

1380534792 is a gapful number since it is divisible by the number (12) 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 1380534792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235340800).

1380534792 is an abundant number, since it is smaller than the sum of its proper divisors (3090146808).

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

1380534792 is a wasteful number, since it uses less digits than its factorization.

1380534792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1380534792 is about 37155.5486031360. The cubic root of 1380534792 is about 1113.4800801782.

It can be divided in two parts, 138053 and 4792, that added together give a triangular number (142845 = T534).

The spelling of 1380534792 in words is "one billion, three hundred eighty million, five hundred thirty-four thousand, seven hundred ninety-two".