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1380710240 = 2557213192331
BaseRepresentation
bin101001001001011…
…1111011101100000
310120020001100101022
41102102333131200
510311430211430
6345001225012
746133562200
oct12222773540
93506040338
101380710240
11649414048
12326492168
13190086710
14d1530400
15813344e5
hex524bf760

1380710240 has 576 divisors, whose sum is σ = 4633251840. Its totient is φ = 383201280.

The previous prime is 1380710237. The next prime is 1380710273. The reversal of 1380710240 is 420170831.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44539025 + ... + 44539055.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 21380710240 is an apocalyptic number.

1380710240 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 1380710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316625920).

1380710240 is an abundant number, since it is smaller than the sum of its proper divisors (3252541600).

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

1380710240 is a wasteful number, since it uses less digits than its factorization.

1380710240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1380710240 is about 37157.9095213926. The cubic root of 1380710240 is about 1113.5272477877.

The spelling of 1380710240 in words is "one billion, three hundred eighty million, seven hundred ten thousand, two hundred forty".