Search a number
-
+
146991017 is a prime number
BaseRepresentation
bin10001100001011…
…10011110101001
3101020120220202202
420300232132221
5300112203032
622330305545
73433255145
oct1060563651
9336526682
10146991017
1175a77588
12412882b5
13245b7444
1415744225
15cd87d62
hex8c2e7a9

146991017 has 2 divisors, whose sum is σ = 146991018. Its totient is φ = 146991016.

The previous prime is 146991001. The next prime is 146991037. The reversal of 146991017 is 710199641.

146991017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90079081 + 56911936 = 9491^2 + 7544^2 .

It is a cyclic number.

It is not a de Polignac number, because 146991017 - 24 = 146991001 is a prime.

It is a super-3 number, since 3×1469910173 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (146991037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73495508 + 73495509.

It is an arithmetic number, because the mean of its divisors is an integer number (73495509).

Almost surely, 2146991017 is an apocalyptic number.

It is an amenable number.

146991017 is a deficient number, since it is larger than the sum of its proper divisors (1).

146991017 is an equidigital number, since it uses as much as digits as its factorization.

146991017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 146991017 is about 12123.9851946462. The cubic root of 146991017 is about 527.7524582383.

The spelling of 146991017 in words is "one hundred forty-six million, nine hundred ninety-one thousand, seventeen".