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463540 = 225721143
BaseRepresentation
bin1110001001010110100
3212112212011
41301022310
5104313130
613534004
73640300
oct1611264
9775764
10463540
112972a0
121a4304
13132cac
14c0d00
159252a
hex712b4

463540 has 72 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 141120.

The previous prime is 463537. The next prime is 463549. The reversal of 463540 is 45364.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10759 + ... + 10801.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2463540 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 463540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016).

463540 is an abundant number, since it is smaller than the sum of its proper divisors (800492).

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

463540 is a wasteful number, since it uses less digits than its factorization.

463540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 463540 is about 680.8377192841. The cubic root of 463540 is about 77.3919409735.

The spelling of 463540 in words is "four hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 49 55 70 77 86 98 110 140 154 172 196 215 220 245 301 308 385 430 473 490 539 602 770 860 946 980 1078 1204 1505 1540 1892 2107 2156 2365 2695 3010 3311 4214 4730 5390 6020 6622 8428 9460 10535 10780 13244 16555 21070 23177 33110 42140 46354 66220 92708 115885 231770 463540