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10157977 is a prime number
BaseRepresentation
bin100110101111…
…111110011001
3201010002010101
4212233332121
510100023402
61001415401
7152225044
oct46577631
921102111
1010157977
115808925
12349a561
13214874b
1414c5c5b
15d59b87
hex9aff99

10157977 has 2 divisors, whose sum is σ = 10157978. Its totient is φ = 10157976.

The previous prime is 10157947. The next prime is 10157999. The reversal of 10157977 is 77975101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8667136 + 1490841 = 2944^2 + 1221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10157977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10157947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5078988 + 5078989.

It is an arithmetic number, because the mean of its divisors is an integer number (5078989).

Almost surely, 210157977 is an apocalyptic number.

It is an amenable number.

10157977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157977 is an equidigital number, since it uses as much as digits as its factorization.

10157977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15435, while the sum is 37.

The square root of 10157977 is about 3187.1581385303. The cubic root of 10157977 is about 216.5720504698.

The spelling of 10157977 in words is "ten million, one hundred fifty-seven thousand, nine hundred seventy-seven".