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1340098560 = 21133537131
BaseRepresentation
bin100111111100000…
…0100100000000000
310110101122001122000
41033320010200000
510221031123220
6340550544000
745131435613
oct11770044000
93411561560
101340098560
116284a5979
12314968000
13184837638
14c9d9c17a
157c9b1390
hex4fe04800

1340098560 has 384 divisors, whose sum is σ = 4929724800. Its totient is φ = 345047040.

The previous prime is 1340098541. The next prime is 1340098589. The reversal of 1340098560 is 658900431.

1340098560 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 98 + 560 = 666.

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 (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10229695 + ... + 10229825.

It is an arithmetic number, because the mean of its divisors is an integer number (12837825).

Almost surely, 21340098560 is an apocalyptic number.

1340098560 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 1340098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464862400).

1340098560 is an abundant number, since it is smaller than the sum of its proper divisors (3589626240).

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

1340098560 is a wasteful number, since it uses less digits than its factorization.

1340098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1340098560 is about 36607.3566377033. The cubic root of 1340098560 is about 1102.5008005918.

Adding to 1340098560 its reverse (658900431), we get a palindrome (1998998991).

The spelling of 1340098560 in words is "one billion, three hundred forty million, ninety-eight thousand, five hundred sixty".