Search a number
-
+
241406500 = 22533713049
BaseRepresentation
bin11100110001110…
…01001000100100
3121211020201110111
432120321020210
5443300002000
635542102404
75660631016
oct1630711044
9554221414
10241406500
111142a4305
1268a1aa04
133b0240aa
14240c01b6
15162d7cba
hexe639224

241406500 has 48 divisors (see below), whose sum is σ = 541522800. Its totient is φ = 93945600.

The previous prime is 241406489. The next prime is 241406531. The reversal of 241406500 is 5604142.

It can be written as a sum of positive squares in 8 ways, for example, as 27311076 + 214095424 = 5226^2 + 14632^2 .

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, 11976 + ... + 25024.

It is an arithmetic number, because the mean of its divisors is an integer number (11281725).

Almost surely, 2241406500 is an apocalyptic number.

241406500 is a gapful number since it is divisible by the number (20) 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 241406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270761400).

241406500 is an abundant number, since it is smaller than the sum of its proper divisors (300116300).

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

241406500 is a wasteful number, since it uses less digits than its factorization.

241406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 241406500 is about 15537.2616634979. The cubic root of 241406500 is about 622.6581158862.

The spelling of 241406500 in words is "two hundred forty-one million, four hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 9250 13049 18500 26098 52196 65245 130490 260980 326225 482813 652450 965626 1304900 1631125 1931252 2414065 3262250 4828130 6524500 9656260 12070325 24140650 48281300 60351625 120703250 241406500