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463140 = 223253183
BaseRepresentation
bin1110001000100100100
3212112022100
41301010210
5104310030
613532100
73636156
oct1610444
9775270
10463140
11296a67
121a4030
13132a62
14c0ad6
1592360
hex71124

463140 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 118080.

The previous prime is 463103. The next prime is 463157. The reversal of 463140 is 41364.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

463140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539 + ... + 5621.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2463140 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 463140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

463140 is an abundant number, since it is smaller than the sum of its proper divisors (1004508).

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

463140 is a wasteful number, since it uses less digits than its factorization.

463140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 463140 is about 680.5439001269. The cubic root of 463140 is about 77.3696734345.

The spelling of 463140 in words is "four hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 83 90 93 124 155 166 180 186 249 279 310 332 372 415 465 498 558 620 747 830 930 996 1116 1245 1395 1494 1660 1860 2490 2573 2790 2988 3735 4980 5146 5580 7470 7719 10292 12865 14940 15438 23157 25730 30876 38595 46314 51460 77190 92628 115785 154380 231570 463140