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6805040 = 2451121937
BaseRepresentation
bin11001111101011000110000
3110210201202112
4121331120300
53220230130
6401504452
7111561524
oct31753060
913721675
106805040
113928800
122342128
131543568
14c91d84
158e6495
hex67d630

6805040 has 120 divisors (see below), whose sum is σ = 18800880. Its totient is φ = 2280960.

The previous prime is 6805037. The next prime is 6805061. The reversal of 6805040 is 405086.

It is a junction number, because it is equal to n+sod(n) for n = 6804997 and 6805015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183902 + ... + 183938.

It is an arithmetic number, because the mean of its divisors is an integer number (156674).

Almost surely, 26805040 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 6805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400440).

6805040 is an abundant number, since it is smaller than the sum of its proper divisors (11995840).

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

6805040 is a wasteful number, since it uses less digits than its factorization.

6805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6805040 is about 2608.6471589696. The cubic root of 6805040 is about 189.5004420733.

The spelling of 6805040 in words is "six million, eight hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 37 38 40 44 55 74 76 80 88 95 110 121 148 152 176 185 190 209 220 242 296 304 370 380 407 418 440 484 592 605 703 740 760 814 836 880 968 1045 1210 1406 1480 1520 1628 1672 1936 2035 2090 2299 2420 2812 2960 3256 3344 3515 4070 4180 4477 4598 4840 5624 6512 7030 7733 8140 8360 8954 9196 9680 11248 11495 14060 15466 16280 16720 17908 18392 22385 22990 28120 30932 32560 35816 36784 38665 44770 45980 56240 61864 71632 77330 85063 89540 91960 123728 154660 170126 179080 183920 309320 340252 358160 425315 618640 680504 850630 1361008 1701260 3402520 6805040