Search a number
-
+
420666327 = 321983107277
BaseRepresentation
bin11001000100101…
…101101111010111
31002022120001201100
4121010231233113
51330142310302
6105424201143
713265414304
oct3104555727
91068501640
10420666327
111a6500924
12b8a691b3
13691c90b3
143dc240ab
1526de6d1c
hex1912dbd7

420666327 has 48 divisors (see below), whose sum is σ = 655724160. Its totient is φ = 259091136.

The previous prime is 420666287. The next prime is 420666371. The reversal of 420666327 is 723666024.

It is a happy number.

It is not a de Polignac number, because 420666327 - 215 = 420633559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420666291 and 420666300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420666427) 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 47 ways as a sum of consecutive naturals, for example, 1518513 + ... + 1518789.

It is an arithmetic number, because the mean of its divisors is an integer number (13660920).

Almost surely, 2420666327 is an apocalyptic number.

420666327 is a deficient number, since it is larger than the sum of its proper divisors (235057833).

420666327 is a wasteful number, since it uses less digits than its factorization.

420666327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 420666327 is about 20510.1518034363. The cubic root of 420666327 is about 749.2830642225.

The spelling of 420666327 in words is "four hundred twenty million, six hundred sixty-six thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 57 83 107 171 249 277 321 747 831 963 1577 2033 2493 4731 5263 6099 8881 14193 15789 18297 22991 26643 29639 47367 68973 79929 88917 168739 206919 266751 436829 506217 563141 1310487 1518651 1689423 2460037 3931461 5068269 7380111 22140333 46740703 140222109 420666327