Search a number
-
+
20153461 is a prime number
BaseRepresentation
bin100110011100…
…0010001110101
31101220220100111
41030320101311
520124402321
61555543021
7333205306
oct114702165
941826314
1020153461
1110415659
1268baa71
134238233
1429687ad
151b815e1
hex1338475

20153461 has 2 divisors, whose sum is σ = 20153462. Its totient is φ = 20153460.

The previous prime is 20153443. The next prime is 20153467. The reversal of 20153461 is 16435102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16859236 + 3294225 = 4106^2 + 1815^2 .

It is a cyclic number.

It is not a de Polignac number, because 20153461 - 25 = 20153429 is a prime.

It is a super-3 number, since 3×201534613 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20153467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10076730 + 10076731.

It is an arithmetic number, because the mean of its divisors is an integer number (10076731).

Almost surely, 220153461 is an apocalyptic number.

It is an amenable number.

20153461 is a deficient number, since it is larger than the sum of its proper divisors (1).

20153461 is an equidigital number, since it uses as much as digits as its factorization.

20153461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 20153461 is about 4489.2606295469. The cubic root of 20153461 is about 272.1342555577.

Adding to 20153461 its reverse (16435102), we get a palindrome (36588563).

It can be divided in two parts, 2015 and 3461, that added together give a square (5476 = 742).

The spelling of 20153461 in words is "twenty million, one hundred fifty-three thousand, four hundred sixty-one".