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463080 = 233517227
BaseRepresentation
bin1110001000011101000
3212112020010
41301003220
5104304310
613531520
73636042
oct1610350
9775203
10463080
11296a12
121a3ba0
13132a17
14c0a92
1592320
hex710e8

463080 has 64 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 115712.

The previous prime is 463033. The next prime is 463093. The reversal of 463080 is 80364.

463080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

463080 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 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2463080 is an apocalyptic number.

463080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 680×681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

463080 is an abundant number, since it is smaller than the sum of its proper divisors (1014360).

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

463080 is a wasteful number, since it uses less digits than its factorization.

463080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 463080 is about 680.4998163115. The cubic root of 463080 is about 77.3663321980.

The spelling of 463080 in words is "four hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 227 255 340 408 454 510 680 681 908 1020 1135 1362 1816 2040 2270 2724 3405 3859 4540 5448 6810 7718 9080 11577 13620 15436 19295 23154 27240 30872 38590 46308 57885 77180 92616 115770 154360 231540 463080