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6240000 = 2835413
BaseRepresentation
bin10111110011011100000000
3102202000200010
4113303130000
53044140000
6341424520
7104016264
oct27633400
912660603
106240000
113582228
12210b140
1313a6310
14b860a4
15833d50
hex5f3700

6240000 has 180 divisors, whose sum is σ = 22349096. Its totient is φ = 1536000.

The previous prime is 6239957. The next prime is 6240001. The reversal of 6240000 is 426.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 260 × 100 × 240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479994 + ... + 480006.

Almost surely, 26240000 is an apocalyptic number.

6240000 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 6240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174548).

6240000 is an abundant number, since it is smaller than the sum of its proper divisors (16109096).

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

6240000 is an equidigital number, since it uses as much as digits as its factorization.

6240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6240000 is about 2497.9991993594. Note that the first 3 decimals coincide. The cubic root of 6240000 is about 184.1032816503.

Adding to 6240000 its reverse (426), we get a palindrome (6240426).

It can be divided in two parts, 6 and 240000, that multiplied together give a square (1440000 = 12002).

The spelling of 6240000 in words is "six million, two hundred forty thousand".