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1389119040 = 263252367313
BaseRepresentation
bin101001011001100…
…0100011001000000
310120210212120002100
41102303010121000
510321103302130
6345501350400
746265213511
oct12263043100
93523776070
101389119040
11653137771
12329268400
13191a3bc3a
14d26bca08
1581e45c60
hex52cc4640

1389119040 has 336 divisors, whose sum is σ = 5076309888. Its totient is φ = 347922432.

The previous prime is 1389119027. The next prime is 1389119099. The reversal of 1389119040 is 409119831.

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 = 1389118986 and 1389119004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4437924 + ... + 4438236.

Almost surely, 21389119040 is an apocalyptic number.

1389119040 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 1389119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538154944).

1389119040 is an abundant number, since it is smaller than the sum of its proper divisors (3687190848).

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

1389119040 is a wasteful number, since it uses less digits than its factorization.

1389119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1389119040 is about 37270.8872982654. The cubic root of 1389119040 is about 1115.7832083614.

The spelling of 1389119040 in words is "one billion, three hundred eighty-nine million, one hundred nineteen thousand, forty".