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801540684 = 223471720789
BaseRepresentation
bin101111110001101…
…000101001001100
32001212020111010000
4233301220221030
53120143300214
6211311444300
725601661210
oct5761505114
92055214100
10801540684
113814a341a
121a4526690
13ca0a2239
147864a940
154a57d809
hex2fc68a4c

801540684 has 120 divisors (see below), whose sum is σ = 2535714720. Its totient is φ = 215529984.

The previous prime is 801540673. The next prime is 801540689. The reversal of 801540684 is 486045108.

801540684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (801540689) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28162 + ... + 48950.

It is an arithmetic number, because the mean of its divisors is an integer number (21130956).

Almost surely, 2801540684 is an apocalyptic number.

801540684 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801540684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267857360).

801540684 is an abundant number, since it is smaller than the sum of its proper divisors (1734174036).

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

801540684 is a wasteful number, since it uses less digits than its factorization.

801540684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20818 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 801540684 is about 28311.4938496717. The cubic root of 801540684 is about 928.9133197073.

The spelling of 801540684 in words is "eight hundred one million, five hundred forty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 20789 38556 41578 62367 83156 124734 145523 187101 249468 291046 353413 374202 436569 561303 582092 706826 748404 873138 1060239 1122606 1309707 1413652 1683909 1746276 2120478 2245212 2473891 2619414 3180717 3367818 3929121 4240956 4947782 5238828 6361434 6735636 7421673 7858242 9542151 9895564 11787363 12722868 14843346 15716484 19084302 22265019 23574726 28626453 29686692 38168604 44530038 47149452 57252906 66795057 89060076 114505812 133590114 200385171 267180228 400770342 801540684