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1389312000 = 211345367
BaseRepresentation
bin101001011001111…
…0011100000000000
310120211020100210000
41102303303200000
510321130441000
6345505440000
746266646206
oct12263634000
93524210700
101389312000
1165325973a
12329340000
13191aa8a0b
14d272d076
1581e83000
hex52cf3800

1389312000 has 480 divisors, whose sum is σ = 5256210960. Its totient is φ = 364953600.

The previous prime is 1389311971. The next prime is 1389312011. The reversal of 1389312000 is 2139831.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735967 + ... + 20736033.

Almost surely, 21389312000 is an apocalyptic number.

1389312000 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 1389312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628105480).

1389312000 is an abundant number, since it is smaller than the sum of its proper divisors (3866898960).

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

1389312000 is an frugal number, since it uses more digits than its factorization.

1389312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1389312000 is about 37273.4758239690. The cubic root of 1389312000 is about 1115.8348697749.

The spelling of 1389312000 in words is "one billion, three hundred eighty-nine million, three hundred twelve thousand".