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1380597120 = 27325797353
BaseRepresentation
bin101001001001010…
…0011110110000000
310120012211121012200
41102102203312000
510311413101440
6344554553200
746132611330
oct12222436600
93505747180
101380597120
11649347061
12326438800
13190047096
14d15010c0
1581310c30
hex524a3d80

1380597120 has 384 divisors, whose sum is σ = 5520191040. Its totient is φ = 311427072.

The previous prime is 1380597091. The next prime is 1380597143. The reversal of 1380597120 is 217950831.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3910864 + ... + 3911216.

Almost surely, 21380597120 is an apocalyptic number.

1380597120 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 1380597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760095520).

1380597120 is an abundant number, since it is smaller than the sum of its proper divisors (4139593920).

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

1380597120 is a wasteful number, since it uses less digits than its factorization.

1380597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1380597120 is about 37156.3873378454. The cubic root of 1380597120 is about 1113.4968369554.

The spelling of 1380597120 in words is "one billion, three hundred eighty million, five hundred ninety-seven thousand, one hundred twenty".