Search a number
-
+
460671030 = 23355772957
BaseRepresentation
bin11011011101010…
…100100000110110
31012002211111212000
4123131110200312
51420412433110
6113413440130
714262432141
oct3335244066
91162744760
10460671030
11217044a66
1210a340046
1374594b11
1445279058
152a69a1c0
hex1b754836

460671030 has 64 divisors (see below), whose sum is σ = 1231001280. Its totient is φ = 122591232.

The previous prime is 460671023. The next prime is 460671047. The reversal of 460671030 is 30176064.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 460670985 and 460671003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154312 + ... + 157268.

It is an arithmetic number, because the mean of its divisors is an integer number (19234395).

Almost surely, 2460671030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460671030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615500640).

460671030 is an abundant number, since it is smaller than the sum of its proper divisors (770330250).

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

460671030 is a wasteful number, since it uses less digits than its factorization.

460671030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 460671030 is about 21463.2483562018. The cubic root of 460671030 is about 772.3194412582.

The spelling of 460671030 in words is "four hundred sixty million, six hundred seventy-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 577 1154 1731 2885 2957 3462 5193 5770 5914 8655 8871 10386 14785 15579 17310 17742 25965 26613 29570 31158 44355 51930 53226 77895 79839 88710 133065 155790 159678 266130 399195 798390 1706189 3412378 5118567 8530945 10237134 15355701 17061890 25592835 30711402 46067103 51185670 76778505 92134206 153557010 230335515 460671030