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241631040 = 2635741877
BaseRepresentation
bin11100110011011…
…11111101000000
3121211200010110210
432121233331000
5443324143130
635550554120
75662554450
oct1631577500
9554603423
10241631040
11114437a82
1268b08940
133b0a2361
142413bd60
151632e5b0
hexe66ff40

241631040 has 224 divisors, whose sum is σ = 899184384. Its totient is φ = 53821440.

The previous prime is 241631029. The next prime is 241631063. The reversal of 241631040 is 40136142.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 241630998 and 241631016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275082 + ... + 275958.

It is an arithmetic number, because the mean of its divisors is an integer number (4014216).

Almost surely, 2241631040 is an apocalyptic number.

241631040 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 241631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449592192).

241631040 is an abundant number, since it is smaller than the sum of its proper divisors (657553344).

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

241631040 is a wasteful number, since it uses less digits than its factorization.

241631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 241631040 is about 15544.4858390363. The cubic root of 241631040 is about 622.8511075523.

Adding to 241631040 its reverse (40136142), we get a palindrome (281767182).

The spelling of 241631040 in words is "two hundred forty-one million, six hundred thirty-one thousand, forty".