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6419140 = 2257133527
BaseRepresentation
bin11000011111001011000100
3110002010101221
4120133023010
53120403030
6345330124
7105363460
oct30371304
913063357
106419140
113694882
122196944
131439a10
14bd14a0
1586be7a
hex61f2c4

6419140 has 48 divisors (see below), whose sum is σ = 16595712. Its totient is φ = 2030976.

The previous prime is 6419129. The next prime is 6419173. The reversal of 6419140 is 419146.

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 15 ways as a sum of consecutive naturals, for example, 57 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (345744).

Almost surely, 26419140 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 6419140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297856).

6419140 is an abundant number, since it is smaller than the sum of its proper divisors (10176572).

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

6419140 is a wasteful number, since it uses less digits than its factorization.

6419140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6419140 is about 2533.6021787171. The cubic root of 6419140 is about 185.8484525002.

The spelling of 6419140 in words is "six million, four hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3527 7054 14108 17635 24689 35270 45851 49378 70540 91702 98756 123445 183404 229255 246890 320957 458510 493780 641914 917020 1283828 1604785 3209570 6419140