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6540696 = 2333107283
BaseRepresentation
bin11000111100110110011000
3110022022011000
4120330312120
53133300241
6352105000
7106411041
oct30746630
913268130
106540696
113768138
122235160
131480146
14c238c8
15892eb6
hex63cd98

6540696 has 64 divisors (see below), whose sum is σ = 18403200. Its totient is φ = 2152224.

The previous prime is 6540691. The next prime is 6540719. The reversal of 6540696 is 6960456.

It is a happy number.

6540696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6540696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22971 + ... + 23253.

It is an arithmetic number, because the mean of its divisors is an integer number (287550).

Almost surely, 26540696 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 6540696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201600).

6540696 is an abundant number, since it is smaller than the sum of its proper divisors (11862504).

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

6540696 is a wasteful number, since it uses less digits than its factorization.

6540696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6540696 is about 2557.4784456570. The cubic root of 6540696 is about 187.0142305698.

The spelling of 6540696 in words is "six million, five hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 283 321 428 566 642 849 856 963 1132 1284 1698 1926 2264 2547 2568 2889 3396 3852 5094 5778 6792 7641 7704 10188 11556 15282 20376 23112 30281 30564 60562 61128 90843 121124 181686 242248 272529 363372 545058 726744 817587 1090116 1635174 2180232 3270348 6540696