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6816940 = 22513157167
BaseRepresentation
bin11010000000010010101100
3110211100002021
4122000102230
53221120230
6402035524
7111641314
oct32002254
913740067
106816940
113936739
122348ba4
131548ac0
14c96444
158e9c7a
hex6804ac

6816940 has 48 divisors (see below), whose sum is σ = 15607872. Its totient is φ = 2486016.

The previous prime is 6816937. The next prime is 6816967. The reversal of 6816940 is 496186.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6816896 and 6816905.

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, 40737 + ... + 40903.

It is an arithmetic number, because the mean of its divisors is an integer number (325164).

Almost surely, 26816940 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 6816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803936).

6816940 is an abundant number, since it is smaller than the sum of its proper divisors (8790932).

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

6816940 is a wasteful number, since it uses less digits than its factorization.

6816940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6816940 is about 2610.9270384291. The cubic root of 6816940 is about 189.6108378026.

The spelling of 6816940 in words is "six million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 167 260 314 334 628 668 785 835 1570 1670 2041 2171 3140 3340 4082 4342 8164 8684 10205 10855 20410 21710 26219 40820 43420 52438 104876 131095 262190 340847 524380 681694 1363388 1704235 3408470 6816940