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6142640 = 245721567
BaseRepresentation
bin10111011011101010110000
3102120002010012
4113123222300
53033031030
6335354052
7103132400
oct27335260
912502105
106142640
113516069
122082928
131370bca
14b5c800
15815095
hex5dbab0

6142640 has 60 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 2104704.

The previous prime is 6142613. The next prime is 6142649. The reversal of 6142640 is 462416.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6142649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3137 + ... + 4703.

Almost surely, 26142640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

6142640 is an abundant number, since it is smaller than the sum of its proper divisors (10481296).

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

6142640 is a wasteful number, since it uses less digits than its factorization.

6142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6142640 is about 2478.4349900693. The cubic root of 6142640 is about 183.1407638237.

The spelling of 6142640 in words is "six million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1567 1960 3134 3920 6268 7835 10969 12536 15670 21938 25072 31340 43876 54845 62680 76783 87752 109690 125360 153566 175504 219380 307132 383915 438760 614264 767830 877520 1228528 1535660 3071320 6142640