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1380957760 = 265713471009
BaseRepresentation
bin101001001001111…
…1011111001000000
310120020111220220201
41102103323321000
510312011122020
6345010414544
746135642630
oct12223737100
93506456821
101380957760
11649573006
12326591454
13190142290
14d15966c0
1581382a0a
hex524fbe40

1380957760 has 224 divisors, whose sum is σ = 4137477120. Its totient is φ = 427327488.

The previous prime is 1380957737. The next prime is 1380957763. The reversal of 1380957760 is 677590831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1380957760.

It is not an unprimeable number, because it can be changed into a prime (1380957763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368136 + ... + 1369144.

It is an arithmetic number, because the mean of its divisors is an integer number (18470880).

Almost surely, 21380957760 is an apocalyptic number.

1380957760 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 1380957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068738560).

1380957760 is an abundant number, since it is smaller than the sum of its proper divisors (2756519360).

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

1380957760 is a wasteful number, since it uses less digits than its factorization.

1380957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 1380957760 is about 37161.2400223674. The cubic root of 1380957760 is about 1113.5937845086.

The spelling of 1380957760 in words is "one billion, three hundred eighty million, nine hundred fifty-seven thousand, seven hundred sixty".