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470085 = 35711237
BaseRepresentation
bin1110010110001000101
3212212211120
41302301011
5110020320
614024153
73665340
oct1626105
9785746
10470085
112a1200
121a8059
13135c75
14c3457
1594440
hex72c45

470085 has 48 divisors (see below), whose sum is σ = 970368. Its totient is φ = 190080.

The previous prime is 470083. The next prime is 470087. The reversal of 470085 is 580074.

It is an interprime number because it is at equal distance from previous prime (470083) and next prime (470087).

It is not a de Polignac number, because 470085 - 21 = 470083 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470085.

It is not an unprimeable number, because it can be changed into a prime (470081) 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, 12687 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2470085 is an apocalyptic number.

It is an amenable number.

470085 is an abundant number, since it is smaller than the sum of its proper divisors (500283).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470085 is a wasteful number, since it uses less digits than its factorization.

470085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 470085 is about 685.6274498589. The cubic root of 470085 is about 77.7544877356.

The spelling of 470085 in words is "four hundred seventy thousand, eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 37 55 77 105 111 121 165 185 231 259 363 385 407 555 605 777 847 1155 1221 1295 1815 2035 2541 2849 3885 4235 4477 6105 8547 12705 13431 14245 22385 31339 42735 67155 94017 156695 470085