Search a number
BaseRepresentation
bin1111000000000000000
3220222020110
41320000000
5111212040
614311320
74115001
oct1700000
9828213
10491520
11306317
121b8540
13142953
14cb1a8
159a980
hex78000

491520 has 64 divisors (see below), whose sum is σ = 1572840. Its totient is φ = 131072.

The previous prime is 491503. The next prime is 491527. The reversal of 491520 is 25194.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)12.

It is a tau number, because it is divible by the number of its divisors (64).

It is an ABA number since it can be written as A⋅BA, here for A=15, B=2.

It is a nialpdrome in base 2.

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 (491527) by changing a digit.

491520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 491520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98302 + ... + 98306.

2491520 is an apocalyptic number.

491520 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 491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786420).

491520 is an abundant number, since it is smaller than the sum of its proper divisors (1081320).

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

491520 is an frugal number, since it uses more digits than its factorization.

491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 491520 is about 701.0848736066. The cubic root of 491520 is about 78.9187863786.

The spelling of 491520 in words is "four hundred ninety-one thousand, five hundred twenty".