Search a number
-
+
653368041 = 32972113547
BaseRepresentation
bin100110111100011…
…001101011101001
31200112102112110100
4212330121223221
52314230234131
6144455540013
722122352044
oct4674315351
91615375410
10653368041
1130589a097
1216298a609
13a5493011
1462ab9c5b
153c5607e6
hex26f19ae9

653368041 has 24 divisors (see below), whose sum is σ = 958272224. Its totient is φ = 428924160.

The previous prime is 653368019. The next prime is 653368049. The reversal of 653368041 is 140863356.

653368041 is a `hidden beast` number, since 6 + 533 + 6 + 80 + 41 = 666.

It is not a de Polignac number, because 653368041 - 26 = 653367977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 653367987 and 653368005.

It is not an unprimeable number, because it can be changed into a prime (653368049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182430 + ... + 185976.

Almost surely, 2653368041 is an apocalyptic number.

It is an amenable number.

653368041 is a deficient number, since it is larger than the sum of its proper divisors (304904183).

653368041 is a wasteful number, since it uses less digits than its factorization.

653368041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 653368041 is about 25561.0649426036. The cubic root of 653368041 is about 867.7326971981.

The spelling of 653368041 in words is "six hundred fifty-three million, three hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 97 211 291 633 873 1899 3547 10641 20467 31923 61401 184203 344059 748417 1032177 2245251 3096531 6735753 72596449 217789347 653368041