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6643140 = 2235715817
BaseRepresentation
bin11001010101110111000100
3110111111200020
4121111313010
53200040030
6354215140
7110315520
oct31256704
913444606
106643140
1138280a9
1222844b0
1314b796a
14c4cd80
158b3510
hex655dc4

6643140 has 48 divisors (see below), whose sum is σ = 21259392. Its totient is φ = 1518336.

The previous prime is 6643139. The next prime is 6643151. The reversal of 6643140 is 413466.

6643140 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×66431405 (a number of 35 digits) contains 55555 as substring.

6643140 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6643140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7489 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (442904).

Almost surely, 26643140 is an apocalyptic number.

6643140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6643140 is an abundant number, since it is smaller than the sum of its proper divisors (14616252).

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

6643140 is a wasteful number, since it uses less digits than its factorization.

6643140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6643140 is about 2577.4289514941. The cubic root of 6643140 is about 187.9855504211.

The spelling of 6643140 in words is "six million, six hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 15817 31634 47451 63268 79085 94902 110719 158170 189804 221438 237255 316340 332157 442876 474510 553595 664314 949020 1107190 1328628 1660785 2214380 3321570 6643140