Search a number
-
+
1389788064 = 253372397103
BaseRepresentation
bin101001011010110…
…0111101110100000
310120212010112211000
41102311213232200
510321241204224
6345523552000
746304001150
oct12265475640
93525115730
101389788064
11653554385
1232952b600
13191c14602
14d2814760
15820290c9
hex52d67ba0

1389788064 has 384 divisors, whose sum is σ = 4931297280. Its totient is φ = 372252672.

The previous prime is 1389788053. The next prime is 1389788069. The reversal of 1389788064 is 4608879831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1389788064.

It is not an unprimeable number, because it can be changed into a prime (1389788069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13493037 + ... + 13493139.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 21389788064 is an apocalyptic number.

1389788064 is a gapful number since it is divisible by the number (14) 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 1389788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

1389788064 is an abundant number, since it is smaller than the sum of its proper divisors (3541509216).

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

1389788064 is a wasteful number, since it uses less digits than its factorization.

1389788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1389788064 is about 37279.8613731328. The cubic root of 1389788064 is about 1115.9623065081.

The spelling of 1389788064 in words is "one billion, three hundred eighty-nine million, seven hundred eighty-eight thousand, sixty-four".