Search a number
-
+
494640 = 24335229
BaseRepresentation
bin1111000110000110000
3221010112000
41320300300
5111312030
614334000
74130046
oct1706060
9833460
10494640
113086a3
121ba300
131441b3
14cc396
159b860
hex78c30

494640 has 80 divisors (see below), whose sum is σ = 1711200. Its totient is φ = 131328.

The previous prime is 494639. The next prime is 494647. The reversal of 494640 is 46494.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2494640 is an apocalyptic number.

494640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855600).

494640 is an abundant number, since it is smaller than the sum of its proper divisors (1216560).

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

494640 is a wasteful number, since it uses less digits than its factorization.

494640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 494640 is about 703.3064765804. The cubic root of 494640 is about 79.0854174114.

The spelling of 494640 in words is "four hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 9160 10305 10992 12366 13740 16488 18320 20610 24732 27480 30915 32976 41220 49464 54960 61830 82440 98928 123660 164880 247320 494640