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6681340 = 2251743457
BaseRepresentation
bin11001011111001011111100
3110120110002001
4121133023330
53202300330
6355112044
7110535061
oct31371374
913513061
106681340
113853876
1222a2624
1314cc173
14c5cc68
158be9ca
hex65f2fc

6681340 has 48 divisors (see below), whose sum is σ = 15234912. Its totient is φ = 2451456.

The previous prime is 6681329. The next prime is 6681359. The reversal of 6681340 is 431866.

6681340 is a nontrivial binomial coefficient, being equal to C(3656, 2).

It is a junction number, because it is equal to n+sod(n) for n = 6681299 and 6681308.

It is a congruent number.

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, 14392 + ... + 14848.

It is an arithmetic number, because the mean of its divisors is an integer number (317394).

Almost surely, 26681340 is an apocalyptic number.

6681340 is the 3655-th triangular number and also the 1828-th hexagonal number.

6681340 is the 1219-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617456).

6681340 is an abundant number, since it is smaller than the sum of its proper divisors (8553572).

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

6681340 is a wasteful number, since it uses less digits than its factorization.

6681340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6681340 is about 2584.8288144479. The cubic root of 6681340 is about 188.3451859475.

It can be divided in two parts, 6681 and 340, that added together give a triangular number (7021 = T118).

The spelling of 6681340 in words is "six million, six hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 457 731 860 914 1462 1828 2285 2924 3655 4570 7310 7769 9140 14620 15538 19651 31076 38845 39302 77690 78604 98255 155380 196510 334067 393020 668134 1336268 1670335 3340670 6681340