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6801040 = 245151563
BaseRepresentation
bin11001111100011010010000
3110210112021101
4121330122100
53220113130
6401434144
7111544051
oct31743220
913715241
106801040
1139257a4
12233b954
1315417ac
14c90728
158e51ca
hex67c690

6801040 has 40 divisors (see below), whose sum is σ = 15945408. Its totient is φ = 2697600.

The previous prime is 6801023. The next prime is 6801049. The reversal of 6801040 is 401086.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6800999 and 6801017.

It is not an unprimeable number, because it can be changed into a prime (6801049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11799 + ... + 12361.

Almost surely, 26801040 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 6801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972704).

6801040 is an abundant number, since it is smaller than the sum of its proper divisors (9144368).

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

6801040 is a wasteful number, since it uses less digits than its factorization.

6801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6801040 is about 2607.8803653542. The cubic root of 6801040 is about 189.4633053661.

The spelling of 6801040 in words is "six million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 563 604 755 1126 1208 1510 2252 2416 2815 3020 4504 5630 6040 9008 11260 12080 22520 45040 85013 170026 340052 425065 680104 850130 1360208 1700260 3400520 6801040