Search a number
-
+
6493120 = 265103197
BaseRepresentation
bin11000110001001111000000
3110012212212221
4120301033000
53130234440
6351100424
7106122244
oct30611700
913185787
106493120
113735417
122211714
1314645aa
14c10424
15883d4a
hex6313c0

6493120 has 56 divisors (see below), whose sum is σ = 15691104. Its totient is φ = 2558976.

The previous prime is 6493087. The next prime is 6493139. The reversal of 6493120 is 213946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32862 + ... + 33058.

Almost surely, 26493120 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 6493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552).

6493120 is an abundant number, since it is smaller than the sum of its proper divisors (9197984).

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

6493120 is a wasteful number, since it uses less digits than its factorization.

6493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 6493120 is about 2548.1601205576. The cubic root of 6493120 is about 186.5596892706.

The spelling of 6493120 in words is "six million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 197 206 320 394 412 515 788 824 985 1030 1576 1648 1970 2060 3152 3296 3940 4120 6304 6592 7880 8240 12608 15760 16480 20291 31520 32960 40582 63040 81164 101455 162328 202910 324656 405820 649312 811640 1298624 1623280 3246560 6493120