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1380009312 = 253411291669
BaseRepresentation
bin101001001000001…
…0100010101100000
310120011201201220000
41102100110111200
510311240244222
6344534220000
746124612523
oct12220242540
93504651800
101380009312
11648a85470
123261b4600
1318cb9c676
14d13cabba
15812469ac
hex52414560

1380009312 has 240 divisors, whose sum is σ = 4582947600. Its totient is φ = 403522560.

The previous prime is 1380009287. The next prime is 1380009317. The reversal of 1380009312 is 2139000831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380009317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826014 + ... + 827682.

It is an arithmetic number, because the mean of its divisors is an integer number (19095615).

Almost surely, 21380009312 is an apocalyptic number.

1380009312 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 1380009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291473800).

1380009312 is an abundant number, since it is smaller than the sum of its proper divisors (3202938288).

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

1380009312 is a wasteful number, since it uses less digits than its factorization.

1380009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1380009312 is about 37148.4765771088. The cubic root of 1380009312 is about 1113.3387857152.

The spelling of 1380009312 in words is "one billion, three hundred eighty million, nine thousand, three hundred twelve".