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803694840 = 2335133116619
BaseRepresentation
bin101111111001110…
…110100011111000
32002000021221001120
4233321312203320
53121221213330
6211425545240
725626202434
oct5771664370
92060257046
10803694840
11382734913
121a51a5220
13ca6778a0
1478a4b9c4
154a856c10
hex2fe768f8

803694840 has 128 divisors (see below), whose sum is σ = 2680473600. Its totient is φ = 191439360.

The previous prime is 803694821. The next prime is 803694847. The reversal of 803694840 is 48496308.

It is a junction number, because it is equal to n+sod(n) for n = 803694792 and 803694801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803694847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40051 + ... + 56669.

It is an arithmetic number, because the mean of its divisors is an integer number (20941200).

Almost surely, 2803694840 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 803694840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340236800).

803694840 is an abundant number, since it is smaller than the sum of its proper divisors (1876778760).

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

803694840 is a wasteful number, since it uses less digits than its factorization.

803694840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16677 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 803694840 is about 28349.5121651149. The cubic root of 803694840 is about 929.7447328078.

The spelling of 803694840 in words is "eight hundred three million, six hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 16619 24180 33238 48360 49857 66476 83095 99714 132952 166190 199428 216047 249285 332380 398856 432094 498570 515189 648141 664760 864188 997140 1030378 1080235 1296282 1545567 1728376 1994280 2060756 2160470 2575945 2592564 3091134 3240705 4121512 4320940 5151890 5185128 6182268 6481410 6697457 7727835 8641880 10303780 12364536 12962820 13394914 15455670 20092371 20607560 25925640 26789828 30911340 33487285 40184742 53579656 61822680 66974570 80369484 100461855 133949140 160738968 200923710 267898280 401847420 803694840