Search a number
-
+
1389063600 = 243352413137
BaseRepresentation
bin101001011001011…
…0110110110110000
310120210202202001000
41102302312312300
510321100013400
6345500242000
746264563051
oct12262666660
93523682030
101389063600
116530aa051
12329240300
13191a1c932
14d26a6728
1581e34600
hex52cb6db0

1389063600 has 240 divisors, whose sum is σ = 5066238240. Its totient is φ = 361267200.

The previous prime is 1389063569. The next prime is 1389063607. The reversal of 1389063600 is 63609831.

It is a happy number.

1389063600 is a `hidden beast` number, since 13 + 8 + 9 + 0 + 636 + 0 + 0 = 666.

1389063600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1389063607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441232 + ... + 444368.

It is an arithmetic number, because the mean of its divisors is an integer number (21109326).

Almost surely, 21389063600 is an apocalyptic number.

1389063600 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 1389063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533119120).

1389063600 is an abundant number, since it is smaller than the sum of its proper divisors (3677174640).

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

1389063600 is a wasteful number, since it uses less digits than its factorization.

1389063600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1389063600 is about 37270.1435468124. The cubic root of 1389063600 is about 1115.7683644586.

The spelling of 1389063600 in words is "one billion, three hundred eighty-nine million, sixty-three thousand, six hundred".