Search a number
-
+
6492640 = 2557111731
BaseRepresentation
bin11000110001000111100000
3110012212020011
4120301013200
53130231030
6351054304
7106120660
oct30610740
913185204
106492640
113735020
122211394
1314642cb
14c101a0
15883b2a
hex6311e0

6492640 has 192 divisors, whose sum is σ = 20901888. Its totient is φ = 1843200.

The previous prime is 6492631. The next prime is 6492643. The reversal of 6492640 is 462946.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6492643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209425 + ... + 209455.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 26492640 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 6492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450944).

6492640 is an abundant number, since it is smaller than the sum of its proper divisors (14409248).

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

6492640 is a wasteful number, since it uses less digits than its factorization.

6492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 6492640 is about 2548.0659332129. The cubic root of 6492640 is about 186.5550920529. Note that the first 3 decimals are identical.

The spelling of 6492640 in words is "six million, four hundred ninety-two thousand, six hundred forty".