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6745840 = 245374353
BaseRepresentation
bin11001101110111011110000
3110200201112221
4121232323300
53211331330
6400330424
7111224113
oct31567360
913621487
106745840
113898282
122313a14
13152262a
14c7857a
158d3b7a
hex66eef0

6745840 has 80 divisors (see below), whose sum is σ = 16793568. Its totient is φ = 2515968.

The previous prime is 6745829. The next prime is 6745841. The reversal of 6745840 is 485476.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6745796 and 6745805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6745841) 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, 127254 + ... + 127306.

Almost surely, 26745840 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 6745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396784).

6745840 is an abundant number, since it is smaller than the sum of its proper divisors (10047728).

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

6745840 is a wasteful number, since it uses less digits than its factorization.

6745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 6745840 is about 2597.2754955915. The cubic root of 6745840 is about 188.9493252719.

The spelling of 6745840 in words is "six million, seven hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 43 53 74 80 86 106 148 172 185 212 215 265 296 344 370 424 430 530 592 688 740 848 860 1060 1480 1591 1720 1961 2120 2279 2960 3182 3440 3922 4240 4558 6364 7844 7955 9116 9805 11395 12728 15688 15910 18232 19610 22790 25456 31376 31820 36464 39220 45580 63640 78440 84323 91160 127280 156880 168646 182320 337292 421615 674584 843230 1349168 1686460 3372920 6745840