Search a number
-
+
1393989120 = 29325173559
BaseRepresentation
bin101001100010110…
…1001011000000000
310121011000222120200
41103011221120000
510323330122440
6350154005200
746354466136
oct12305513000
93534028520
101393989120
11655963727
1232aa16800
13192a55844
14d31c9756
15825a8c30
hex53169600

1393989120 has 240 divisors, whose sum is σ = 5113199520. Its totient is φ = 349765632.

The previous prime is 1393989101. The next prime is 1393989127. The reversal of 1393989120 is 219893931.

It is a happy number.

1393989120 is a `hidden beast` number, since 139 + 398 + 9 + 120 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393989127) 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 23 ways as a sum of consecutive naturals, for example, 389901 + ... + 393459.

It is an arithmetic number, because the mean of its divisors is an integer number (21304998).

Almost surely, 21393989120 is an apocalyptic number.

1393989120 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 1393989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556599760).

1393989120 is an abundant number, since it is smaller than the sum of its proper divisors (3719210400).

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

1393989120 is a wasteful number, since it uses less digits than its factorization.

1393989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1393989120 is about 37336.1637022338. The cubic root of 1393989120 is about 1117.0856202771.

The spelling of 1393989120 in words is "one billion, three hundred ninety-three million, nine hundred eighty-nine thousand, one hundred twenty".