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1406364257 is a prime number
BaseRepresentation
bin101001111010011…
…0110101001100001
310122000022201002002
41103310312221201
510340012124012
6351315133345
746564620224
oct12364665141
93560281062
101406364257
11661946311
12332ba4255
131954994cc
14d4acb5bb
15837007c2
hex53d36a61

1406364257 has 2 divisors, whose sum is σ = 1406364258. Its totient is φ = 1406364256.

The previous prime is 1406364217. The next prime is 1406364277. The reversal of 1406364257 is 7524636041.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1362791056 + 43573201 = 36916^2 + 6601^2 .

It is a cyclic number.

It is not a de Polignac number, because 1406364257 - 216 = 1406298721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1406364257.

It is not a weakly prime, because it can be changed into another prime (1406364217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 703182128 + 703182129.

It is an arithmetic number, because the mean of its divisors is an integer number (703182129).

Almost surely, 21406364257 is an apocalyptic number.

It is an amenable number.

1406364257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406364257 is an equidigital number, since it uses as much as digits as its factorization.

1406364257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 1406364257 is about 37501.5233957235. The cubic root of 1406364257 is about 1120.3815284464.

The spelling of 1406364257 in words is "one billion, four hundred six million, three hundred sixty-four thousand, two hundred fifty-seven".