Search a number
-
+
241040700 = 2232522231201
BaseRepresentation
bin11100101110111…
…11110100111100
3121210120010200100
432113133310330
5443201300300
635530201100
75654545365
oct1627376474
9553503610
10241040700
1111407449a
1268883190
133ac26744
1424026b6c
1516264700
hexe5dfd3c

241040700 has 108 divisors (see below), whose sum is σ = 759548608. Its totient is φ = 63936000.

The previous prime is 241040659. The next prime is 241040731. The reversal of 241040700 is 7040142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200100 + ... + 201300.

Almost surely, 2241040700 is an apocalyptic number.

241040700 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 241040700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379774304).

241040700 is an abundant number, since it is smaller than the sum of its proper divisors (518507908).

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

241040700 is a wasteful number, since it uses less digits than its factorization.

241040700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 241040700 is about 15525.4854996551. The cubic root of 241040700 is about 622.3434550955.

Adding to 241040700 its reverse (7040142), we get a palindrome (248080842).

The spelling of 241040700 in words is "two hundred forty-one million, forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 300 446 450 669 892 900 1115 1201 1338 2007 2230 2402 2676 3345 3603 4014 4460 4804 5575 6005 6690 7206 8028 10035 10809 11150 12010 13380 14412 16725 18015 20070 21618 22300 24020 30025 33450 36030 40140 43236 50175 54045 60050 66900 72060 90075 100350 108090 120100 180150 200700 216180 267823 270225 360300 535646 540450 803469 1071292 1080900 1339115 1606938 2410407 2678230 3213876 4017345 4820814 5356460 6695575 8034690 9641628 12052035 13391150 16069380 20086725 24104070 26782300 40173450 48208140 60260175 80346900 120520350 241040700