Search a number
-
+
1389342240 = 2533511132173
BaseRepresentation
bin101001011001111…
…1010111000100000
310120211021220021000
41102303322320200
510321132422430
6345510232000
746300133316
oct12263727040
93524256230
101389342240
1165327a430
12329355600
13191ab9700
14d273a0b6
1581e8be60
hex52cfae20

1389342240 has 576 divisors, whose sum is σ = 5777412480. Its totient is φ = 309104640.

The previous prime is 1389342239. The next prime is 1389342259. The reversal of 1389342240 is 422439831.

1389342240 = 793 + 803 + ... + 2733.

1389342240 is a `hidden beast` number, since 1 + 389 + 34 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1389342195 and 1389342204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8030794 + ... + 8030966.

It is an arithmetic number, because the mean of its divisors is an integer number (10030230).

Almost surely, 21389342240 is an apocalyptic number.

1389342240 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 1389342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888706240).

1389342240 is an abundant number, since it is smaller than the sum of its proper divisors (4388070240).

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

1389342240 is a wasteful number, since it uses less digits than its factorization.

1389342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1389342240 is about 37273.8814721515. The cubic root of 1389342240 is about 1115.8429655330.

The spelling of 1389342240 in words is "one billion, three hundred eighty-nine million, three hundred forty-two thousand, two hundred forty".