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478140 = 223513613
BaseRepresentation
bin1110100101110111100
3220021212220
41310232330
5110300030
614125340
74030665
oct1645674
9807786
10478140
112a7263
121b0850
13139830
14c636c
1596a10
hex74bbc

478140 has 48 divisors (see below), whose sum is σ = 1444128. Its totient is φ = 117504.

The previous prime is 478139. The next prime is 478157. The reversal of 478140 is 41874.

478140 is nontrivially palindromic in base 14.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 478140.

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 478140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (30086).

2478140 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 478140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722064).

478140 is an abundant number, since it is smaller than the sum of its proper divisors (965988).

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

478140 is a wasteful number, since it uses less digits than its factorization.

478140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 478140 is about 691.4766807348. The cubic root of 478140 is about 78.1960878292.

The spelling of 478140 in words is "four hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 613 780 1226 1839 2452 3065 3678 6130 7356 7969 9195 12260 15938 18390 23907 31876 36780 39845 47814 79690 95628 119535 159380 239070 478140