Search a number
-
+
153304993 is a prime number
BaseRepresentation
bin10010010001100…
…11111110100001
3101200110200220201
421020303332201
5303221224433
623113505201
73541033222
oct1110637641
9350420821
10153304993
117959a346
1243412201
13259b831a
1416509249
15d6d3a7d
hex9233fa1

153304993 has 2 divisors, whose sum is σ = 153304994. Its totient is φ = 153304992.

The previous prime is 153304979. The next prime is 153305011. The reversal of 153304993 is 399403351.

153304993 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., 127983969 + 25321024 = 11313^2 + 5032^2 .

It is a cyclic number.

It is not a de Polignac number, because 153304993 - 217 = 153173921 is a prime.

It is not a weakly prime, because it can be changed into another prime (153304973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76652496 + 76652497.

It is an arithmetic number, because the mean of its divisors is an integer number (76652497).

Almost surely, 2153304993 is an apocalyptic number.

It is an amenable number.

153304993 is a deficient number, since it is larger than the sum of its proper divisors (1).

153304993 is an equidigital number, since it uses as much as digits as its factorization.

153304993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 153304993 is about 12381.6393502638. The cubic root of 153304993 is about 535.2032802497.

The spelling of 153304993 in words is "one hundred fifty-three million, three hundred four thousand, nine hundred ninety-three".