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1380143232 = 273313217139
BaseRepresentation
bin101001001000011…
…0101000010000000
310120011222112121000
41102100311002000
510311304040412
6344541132000
746126011126
oct12220650200
93504875530
101380143232
11649067046
1232625a000
1318cc18600
14d1423916
15812714dc
hex52435080

1380143232 has 384 divisors, whose sum is σ = 4703832000. Its totient is φ = 396804096.

The previous prime is 1380143231. The next prime is 1380143243. The reversal of 1380143232 is 2323410831.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1380143196 and 1380143205.

It is not an unprimeable number, because it can be changed into a prime (1380143231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9929019 + ... + 9929157.

Almost surely, 21380143232 is an apocalyptic number.

1380143232 is a gapful number since it is divisible by the number (12) 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 1380143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351916000).

1380143232 is an abundant number, since it is smaller than the sum of its proper divisors (3323688768).

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

1380143232 is a wasteful number, since it uses less digits than its factorization.

1380143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1380143232 is about 37150.2790299077. The cubic root of 1380143232 is about 1113.3747983967.

It can be divided in two parts, 138014 and 3232, that added together give a triangular number (141246 = T531).

The spelling of 1380143232 in words is "one billion, three hundred eighty million, one hundred forty-three thousand, two hundred thirty-two".