Search a number
-
+
416068821 = 327191931801
BaseRepresentation
bin11000110011001…
…011010011010101
31001222220111010100
4120303023103111
51323003200241
6105141444313
713211345430
oct3063132325
91058814110
10416068821
111a3950733
12b7410699
136827958c
143d388817
15267d99b6
hex18ccb4d5

416068821 has 48 divisors (see below), whose sum is σ = 727143040. Its totient is φ = 223948800.

The previous prime is 416068813. The next prime is 416068837. The reversal of 416068821 is 128860614.

416068821 is a `hidden beast` number, since 41 + 606 + 8 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 416068821 - 23 = 416068813 is a prime.

It is a super-2 number, since 2×4160688212 = 346226527616660082, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416068801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230121 + ... + 231921.

Almost surely, 2416068821 is an apocalyptic number.

It is an amenable number.

416068821 is a deficient number, since it is larger than the sum of its proper divisors (311074219).

416068821 is a wasteful number, since it uses less digits than its factorization.

416068821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 416068821 is about 20397.7650981670. The cubic root of 416068821 is about 746.5433949830.

The spelling of 416068821 in words is "four hundred sixteen million, sixty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 193 399 579 1197 1351 1737 1801 3667 4053 5403 11001 12159 12607 16209 25669 33003 34219 37821 77007 102657 113463 231021 239533 307971 347593 718599 1042779 2155797 2433151 3128337 6604267 7299453 19812801 21898359 46229869 59438403 138689607 416068821