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1393119000 = 2337537213
BaseRepresentation
bin101001100001001…
…0100111100011000
310121002101210000000
41103002110330120
510323114302000
6350123213000
746344213300
oct12302247430
93532353000
101393119000
11655419a19
1232a677160
1319280c790
14d3040600
1582486000
hex53094f18

1393119000 has 768 divisors, whose sum is σ = 6124809600. Its totient is φ = 293932800.

The previous prime is 1393118999. The next prime is 1393119011. The reversal of 1393119000 is 9113931.

It is a super-2 number, since 2×13931190002 = 3881561096322000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107162994 + ... + 107163006.

Almost surely, 21393119000 is an apocalyptic number.

1393119000 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 1393119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062404800).

1393119000 is an abundant number, since it is smaller than the sum of its proper divisors (4731690600).

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

1393119000 is an equidigital number, since it uses as much as digits as its factorization.

1393119000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 1393119000 is about 37324.5093738685. The cubic root of 1393119000 is about 1116.8531457585.

The spelling of 1393119000 in words is "one billion, three hundred ninety-three million, one hundred nineteen thousand".