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420105465 = 325132331223
BaseRepresentation
bin11001000010100…
…100110011111001
31002021111120100200
4121002210303321
51330021333330
6105404152413
713260560163
oct3102446371
91067446320
10420105465
111a61584aa
12b8838709
1369060a20
143db19933
1526d35a60
hex190a4cf9

420105465 has 48 divisors (see below), whose sum is σ = 818318592. Its totient is φ = 197822592.

The previous prime is 420105461. The next prime is 420105473. The reversal of 420105465 is 564501024.

It is not a de Polignac number, because 420105465 - 22 = 420105461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420105461) 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, 2157 + ... + 29066.

It is an arithmetic number, because the mean of its divisors is an integer number (17048304).

Almost surely, 2420105465 is an apocalyptic number.

420105465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420105465 is a deficient number, since it is larger than the sum of its proper divisors (398213127).

420105465 is a wasteful number, since it uses less digits than its factorization.

420105465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31270 (or 31267 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 420105465 is about 20496.4744529395. The cubic root of 420105465 is about 748.9499171208.

Adding to 420105465 its reverse (564501024), we get a palindrome (984606489).

The spelling of 420105465 in words is "four hundred twenty million, one hundred five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 585 897 1035 1495 2691 4485 13455 31223 93669 156115 281007 405899 468345 718129 1217697 1405035 2029495 2154387 3590645 3653091 6088485 6463161 9335677 10771935 18265455 28007031 32315805 46678385 84021093 140035155 420105465