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1389654000 = 243253741269
BaseRepresentation
bin101001011010100…
…0110111111110000
310120211212201220200
41102311012333300
510321222412000
6345521035200
746302602250
oct12265067760
93524781820
101389654000
11653472689
12329485b00
13191b98597
14d27bb960
1581eee500
hex52d46ff0

1389654000 has 480 divisors, whose sum is σ = 5703384960. Its totient is φ = 308736000.

The previous prime is 1389653989. The next prime is 1389654017. The reversal of 1389654000 is 4569831.

It is a super-2 number, since 2×13896540002 = 3862276479432000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5165866 + ... + 5166134.

It is an arithmetic number, because the mean of its divisors is an integer number (11882052).

Almost surely, 21389654000 is an apocalyptic number.

1389654000 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 1389654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851692480).

1389654000 is an abundant number, since it is smaller than the sum of its proper divisors (4313730960).

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

1389654000 is a wasteful number, since it uses less digits than its factorization.

1389654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1389654000 is about 37278.0632544128. The cubic root of 1389654000 is about 1115.9264220964.

It can be divided in two parts, 13896 and 54000, that added together give a triangular number (67896 = T368).

The spelling of 1389654000 in words is "one billion, three hundred eighty-nine million, six hundred fifty-four thousand".