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466830 = 233571319
BaseRepresentation
bin1110001111110001110
3212201101000
41301332032
5104414310
614001130
73653010
oct1617616
9781330
10466830
11299811
121a61a6
13134640
14c21b0
15934c0
hex71f8e

466830 has 128 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 93312.

The previous prime is 466819. The next prime is 466853. The reversal of 466830 is 38664.

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

It is a junction number, because it is equal to n+sod(n) for n = 466794 and 466803.

It is a congruent number.

It is an unprimeable number.

466830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a Kaprekar number, because its square (217930248900) can be partitioned into two parts whose sum is 466830.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24561 + ... + 24579.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2466830 is an apocalyptic number.

466830 is the 342-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

466830 is an abundant number, since it is smaller than the sum of its proper divisors (1145970).

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

466830 is a wasteful number, since it uses less digits than its factorization.

466830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 466830 is about 683.2495883643. The cubic root of 466830 is about 77.5746073080.

The spelling of 466830 in words is "four hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 19 21 26 27 30 35 38 39 42 45 54 57 63 65 70 78 90 91 95 105 114 117 126 130 133 135 171 182 189 190 195 210 234 247 266 270 273 285 315 342 351 378 390 399 455 494 513 546 570 585 630 665 702 741 798 819 855 910 945 1026 1170 1197 1235 1330 1365 1482 1638 1710 1729 1755 1890 1995 2223 2394 2457 2470 2565 2730 3458 3510 3591 3705 3990 4095 4446 4914 5130 5187 5985 6669 7182 7410 8190 8645 10374 11115 11970 12285 13338 15561 17290 17955 22230 24570 25935 31122 33345 35910 46683 51870 66690 77805 93366 155610 233415 466830