Search a number
-
+
204012419 = 13291274261
BaseRepresentation
bin11000010100011…
…11101110000011
3112012212220102112
430022033232003
5404211344134
632124405535
75025035252
oct1412175603
9465786375
10204012419
11a5183606
12583a68ab
1333360710
141d148799
1512d9d1ce
hexc28fb83

204012419 has 16 divisors (see below), whose sum is σ = 229125120. Its totient is φ = 180351360.

The previous prime is 204012407. The next prime is 204012421. The reversal of 204012419 is 914210402.

204012419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204012419 is a prime.

It is a super-2 number, since 2×2040124192 = 83242134212463122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204012394 and 204012403.

It is not an unprimeable number, because it can be changed into a prime (204012449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45749 + ... + 50009.

It is an arithmetic number, because the mean of its divisors is an integer number (14320320).

Almost surely, 2204012419 is an apocalyptic number.

204012419 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

204012419 is a deficient number, since it is larger than the sum of its proper divisors (25112701).

204012419 is a wasteful number, since it uses less digits than its factorization.

204012419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 204012419 is about 14283.2916024283. The cubic root of 204012419 is about 588.6884771548.

The spelling of 204012419 in words is "two hundred four million, twelve thousand, four hundred nineteen".

Divisors: 1 13 29 127 377 1651 3683 4261 47879 55393 123569 541147 1606397 7034911 15693263 204012419