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6240435240 = 233513191731217
BaseRepresentation
bin1011100111111010…
…10111110000101000
3121002220110221211010
411303331113300220
5100240022411430
62511122103520
7310433552514
oct56375276050
917086427733
106240435240
1127126213a6
121261aaaba0
13785b3ca40
14432b19144
15267ccccb0
hex173f57c28

6240435240 has 256 divisors, whose sum is σ = 21362745600. Its totient is φ = 1445658624.

The previous prime is 6240435211. The next prime is 6240435247. The reversal of 6240435240 is 425340426.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6240435198 and 6240435207.

It is not an unprimeable number, because it can be changed into a prime (6240435247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5127112 + ... + 5128328.

It is an arithmetic number, because the mean of its divisors is an integer number (83448225).

Almost surely, 26240435240 is an apocalyptic number.

6240435240 is a gapful number since it is divisible by the number (60) 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 6240435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681372800).

6240435240 is an abundant number, since it is smaller than the sum of its proper divisors (15122310360).

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

6240435240 is a wasteful number, since it uses less digits than its factorization.

6240435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 6240435240 is about 78996.4254887523. The cubic root of 6240435240 is about 1841.0756195210.

Adding to 6240435240 its reverse (425340426), we get a palindrome (6665775666).

The spelling of 6240435240 in words is "six billion, two hundred forty million, four hundred thirty-five thousand, two hundred forty".