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6642240 = 2635111737
BaseRepresentation
bin11001010101101001000000
3110111110102220
4121111221000
53200022430
6354211040
7110313063
oct31255100
913443386
106642240
113827460
122283a80
1314b7427
14c4c8da
158b3110
hex655a40

6642240 has 224 divisors, whose sum is σ = 25017984. Its totient is φ = 1474560.

The previous prime is 6642211. The next prime is 6642281. The reversal of 6642240 is 422466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6642240.

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, 179502 + ... + 179538.

Almost surely, 26642240 is an apocalyptic number.

6642240 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 6642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508992).

6642240 is an abundant number, since it is smaller than the sum of its proper divisors (18375744).

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

6642240 is a wasteful number, since it uses less digits than its factorization.

6642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6642240 is about 2577.2543529889. The cubic root of 6642240 is about 187.9770607291.

It can be divided in two parts, 6 and 642240, that added together give a palindrome (642246).

The spelling of 6642240 in words is "six million, six hundred forty-two thousand, two hundred forty".