[go: up one dir, main page]

Search a number
-
+
460020 = 2235111741
BaseRepresentation
bin1110000010011110100
3212101000210
41300103310
5104210040
613505420
73624111
oct1602364
9771023
10460020
11294690
121a2270
13131502
14bd908
1591480
hex704f4

460020 has 96 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 102400.

The previous prime is 460013. The next prime is 460039. The reversal of 460020 is 20064.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 459978 and 460005.

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 460020.

It is an unprimeable number.

460020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11200 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2460020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

460020 is an abundant number, since it is smaller than the sum of its proper divisors (1064076).

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

460020 is a wasteful number, since it uses less digits than its factorization.

460020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 460020 is about 678.2477423479. The cubic root of 460020 is about 77.1955450372.

Adding to 460020 its reverse (20064), we get a palindrome (480084).

The spelling of 460020 in words is "four hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 41 44 51 55 60 66 68 82 85 102 110 123 132 164 165 170 187 204 205 220 246 255 330 340 374 410 451 492 510 561 615 660 697 748 820 902 935 1020 1122 1230 1353 1394 1804 1870 2091 2244 2255 2460 2706 2788 2805 3485 3740 4182 4510 5412 5610 6765 6970 7667 8364 9020 10455 11220 13530 13940 15334 20910 23001 27060 30668 38335 41820 46002 76670 92004 115005 153340 230010 460020