Search a number
-
+
241081000 = 23534912
BaseRepresentation
bin11100101111010…
…01101010101000
3121210122011221221
432113221222220
5443204043000
635531111424
75655104026
oct1627515250
9553564857
10241081000
111140a17a6
12688a2574
133ac3bba4
1424037716
151627161a
hexe5e9aa8

241081000 has 48 divisors (see below), whose sum is σ = 565280820. Its totient is φ = 96236000.

The previous prime is 241080991. The next prime is 241081007. The reversal of 241081000 is 180142.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 162970756 + 78110244 = 12766^2 + 8838^2 .

It is a super-2 number, since 2×2410810002 = 116240097122000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241081007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490755 + ... + 491245.

Almost surely, 2241081000 is an apocalyptic number.

241081000 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 241081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282640410).

241081000 is an abundant number, since it is smaller than the sum of its proper divisors (324199820).

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

241081000 is an frugal number, since it uses more digits than its factorization.

241081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 241081000 is about 15526.7833114267. The cubic root of 241081000 is about 622.3781367124.

The spelling of 241081000 in words is "two hundred forty-one million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 491 500 982 1000 1964 2455 3928 4910 9820 12275 19640 24550 49100 61375 98200 122750 241081 245500 482162 491000 964324 1205405 1928648 2410810 4821620 6027025 9643240 12054050 24108100 30135125 48216200 60270250 120540500 241081000