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6114240 = 2632511193
BaseRepresentation
bin10111010100101111000000
3102111122011100
4113110233000
53031123430
6335014400
7102653526
oct27245700
912448140
106114240
1134a67a0
12206a400
131360cc2
14b52316
1580b960
hex5d4bc0

6114240 has 168 divisors, whose sum is σ = 23061168. Its totient is φ = 1474560.

The previous prime is 6114233. The next prime is 6114253. The reversal of 6114240 is 424116.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31584 + ... + 31776.

Almost surely, 26114240 is an apocalyptic number.

6114240 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 6114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530584).

6114240 is an abundant number, since it is smaller than the sum of its proper divisors (16946928).

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

6114240 is a wasteful number, since it uses less digits than its factorization.

6114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6114240 is about 2472.6989303189. The cubic root of 6114240 is about 182.8580822124.

Adding to 6114240 its reverse (424116), we get a palindrome (6538356).

It can be divided in two parts, 611 and 4240, that added together give a triangular number (4851 = T98).

The spelling of 6114240 in words is "six million, one hundred fourteen thousand, two hundred forty".