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802010118 = 2371321031097
BaseRepresentation
bin101111110011011…
…011010000000110
32001220010100001110
4233303123100012
53120303310433
6211325505450
725605654630
oct5763332006
92056110043
10802010118
11381794088
121a4712286
13ca207b00
147872da50
154a622963
hex2fcdb406

802010118 has 96 divisors (see below), whose sum is σ = 2006125056. Its totient is φ = 209274624.

The previous prime is 802010117. The next prime is 802010129. The reversal of 802010118 is 811010208.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 802010094 and 802010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802010117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730546 + ... + 731642.

It is an arithmetic number, because the mean of its divisors is an integer number (20897136).

Almost surely, 2802010118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802010118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003062528).

802010118 is an abundant number, since it is smaller than the sum of its proper divisors (1204114938).

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

802010118 is a wasteful number, since it uses less digits than its factorization.

802010118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 802010118 is about 28319.7831559495. The cubic root of 802010118 is about 929.0946281976.

The spelling of 802010118 in words is "eight hundred two million, ten thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 169 182 206 273 309 338 507 546 618 721 1014 1097 1183 1339 1442 2163 2194 2366 2678 3291 3549 4017 4326 6582 7098 7679 8034 9373 14261 15358 17407 18746 23037 28119 28522 34814 42783 46074 52221 56238 85566 99827 104442 112991 121849 185393 199654 225982 243698 299481 338973 365547 370786 556179 598962 677946 731094 790937 1112358 1297751 1468883 1581874 2372811 2595502 2937766 3893253 4406649 4745622 7786506 8813298 10282181 19095479 20564362 30846543 38190958 57286437 61693086 114572874 133668353 267336706 401005059 802010118