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245760001 is a prime number
BaseRepresentation
bin11101010011000…
…00000000000001
3122010102220100021
432221200000001
51000403310001
640215253441
76042632314
oct1651400001
9563386307
10245760001
111167a8143
126a37a281
133bbb9826
14248d497b
1516897ba1
hexea60001

245760001 has 2 divisors, whose sum is σ = 245760002. Its totient is φ = 245760000.

The previous prime is 245759999. The next prime is 245760017. The reversal of 245760001 is 100067542.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217415025 + 28344976 = 14745^2 + 5324^2 .

It is a cyclic number.

It is not a de Polignac number, because 245760001 - 21 = 245759999 is a prime.

Together with 245759999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (245760091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122880000 + 122880001.

It is an arithmetic number, because the mean of its divisors is an integer number (122880001).

It is a Proth number, since it is equal to 1875 ⋅ 217 + 1 and 1875 < 217.

Almost surely, 2245760001 is an apocalyptic number.

It is an amenable number.

245760001 is a deficient number, since it is larger than the sum of its proper divisors (1).

245760001 is an equidigital number, since it uses as much as digits as its factorization.

245760001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 245760001 is about 15676.7343857067. The cubic root of 245760001 is about 626.3788234366.

The spelling of 245760001 in words is "two hundred forty-five million, seven hundred sixty thousand, one".