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1340206560 = 253457111779
BaseRepresentation
bin100111111100001…
…1110110111100000
310110101211112210000
41033320132313200
510221043102220
6340553140000
745132365520
oct11770366740
93411745700
101340206560
1162856a030
123149ba600
13184874844
14c9dc9680
157c9d3390
hex4fe1ede0

1340206560 has 960 divisors, whose sum is σ = 6322821120. Its totient is φ = 258785280.

The previous prime is 1340206559. The next prime is 1340206583. The reversal of 1340206560 is 656020431.

1340206560 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 0 + 656 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964601 + ... + 16964679.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 21340206560 is an apocalyptic number.

1340206560 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 1340206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161410560).

1340206560 is an abundant number, since it is smaller than the sum of its proper divisors (4982614560).

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

1340206560 is a wasteful number, since it uses less digits than its factorization.

1340206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1340206560 is about 36608.8317213210. The cubic root of 1340206560 is about 1102.5304170423.

Adding to 1340206560 its reverse (656020431), we get a palindrome (1996226991).

The spelling of 1340206560 in words is "one billion, three hundred forty million, two hundred six thousand, five hundred sixty".