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2540160001 = 37617111269
BaseRepresentation
bin1001011101100111…
…1100010000000001
320120000202111110001
42113121330100001
520200240110001
61100020240001
7116643001201
oct22731742001
96500674401
102540160001
111093943895
125aa840001
13316350a72
141a1506401
15ed010001
hex9767c401

2540160001 has 8 divisors (see below), whose sum is σ = 2613064680. Its totient is φ = 2467479168.

The previous prime is 2540159959. The next prime is 2540160011. The reversal of 2540160001 is 1000610452.

It is a Cunningham number, because it is equal to 504002+1.

It can be written as a sum of positive squares in 4 ways, for example, as 73547776 + 2466612225 = 8576^2 + 49665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2540160001 - 211 = 2540157953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540160011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32806 + ... + 78463.

It is an arithmetic number, because the mean of its divisors is an integer number (326633085).

Almost surely, 22540160001 is an apocalyptic number.

It is an amenable number.

2540160001 is a deficient number, since it is larger than the sum of its proper divisors (72904679).

2540160001 is a wasteful number, since it uses less digits than its factorization.

2540160001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111923.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2540160001 is about 50400.0000099206. Note that the first 5 decimals coincide. The cubic root of 2540160001 is about 1364.4376383478.

Adding to 2540160001 its reverse (1000610452), we get a palindrome (3540770453).

The spelling of 2540160001 in words is "two billion, five hundred forty million, one hundred sixty thousand, one".

Divisors: 1 37 617 22829 111269 4116953 68652973 2540160001