Search a number
-
+
200591028 = 2232112917467
BaseRepresentation
bin10111111010011…
…00011010110100
3111222110002011100
423331030122310
5402322403103
631523210100
74653665331
oct1375143264
9458402140
10200591028
11a3257010
1257216930
1332733321
141c8d7988
15129245a3
hexbf4c6b4

200591028 has 72 divisors (see below), whose sum is σ = 572251680. Its totient is φ = 58685760.

The previous prime is 200591011. The next prime is 200591051. The reversal of 200591028 is 820195002.

It is a junction number, because it is equal to n+sod(n) for n = 200590992 and 200591010.

It is a congruent number.

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, 2751 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (7947940).

Almost surely, 2200591028 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 200591028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286125840).

200591028 is an abundant number, since it is smaller than the sum of its proper divisors (371660652).

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

200591028 is a wasteful number, since it uses less digits than its factorization.

200591028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 200591028 is about 14163.0162041848. The cubic root of 200591028 is about 585.3790399128.

The spelling of 200591028 in words is "two hundred million, five hundred ninety-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 17467 34934 52401 69868 104802 157203 192137 209604 314406 384274 506543 576411 628812 768548 1013086 1152822 1519629 1729233 2026172 2305644 3039258 3458466 4558887 5571973 6078516 6916932 9117774 11143946 16715919 18235548 22287892 33431838 50147757 66863676 100295514 200591028