Search a number
-
+
494520 = 233513317
BaseRepresentation
bin1111000101110111000
3221010100120
41320232320
5111311040
614333240
74126515
oct1705670
9833316
10494520
113085a4
121ba220
13144120
14cc30c
159b7d0
hex78bb8

494520 has 64 divisors (see below), whose sum is σ = 1602720. Its totient is φ = 121344.

The previous prime is 494519. The next prime is 494521. The reversal of 494520 is 25494.

It is an interprime number because it is at equal distance from previous prime (494519) and next prime (494521).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 494520.

It is not an unprimeable number, because it can be changed into a prime (494521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402 + ... + 1718.

2494520 is an apocalyptic number.

494520 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 494520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801360).

494520 is an abundant number, since it is smaller than the sum of its proper divisors (1108200).

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

494520 is a wasteful number, since it uses less digits than its factorization.

494520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 494520 is about 703.2211600912. The cubic root of 494520 is about 79.0790215021.

The spelling of 494520 in words is "four hundred ninety-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 317 390 520 634 780 951 1268 1560 1585 1902 2536 3170 3804 4121 4755 6340 7608 8242 9510 12363 12680 16484 19020 20605 24726 32968 38040 41210 49452 61815 82420 98904 123630 164840 247260 494520