Search a number
-
+
200789136 = 24324171479
BaseRepresentation
bin10111111011111…
…00110010010000
3111222211010220200
423331330302100
5402400223021
631531335200
74655452032
oct1375746220
9458733820
10200789136
11a3381939
12572b1500
13327a2552
141c949c52
1512963126
hexbf7cc90

200789136 has 120 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 64243200.

The previous prime is 200789081. The next prime is 200789137. The reversal of 200789136 is 631987002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200789136.

It is not an unprimeable number, because it can be changed into a prime (200789137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418945 + ... + 419423.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2200789136 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 200789136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

200789136 is an abundant number, since it is smaller than the sum of its proper divisors (384173424).

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

200789136 is a wasteful number, since it uses less digits than its factorization.

200789136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 200789136 is about 14170.0083274499. The cubic root of 200789136 is about 585.5716874693.

The spelling of 200789136 in words is "two hundred million, seven hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 71 72 82 123 142 144 164 213 246 284 328 369 426 479 492 568 639 656 738 852 958 984 1136 1278 1437 1476 1704 1916 1968 2556 2874 2911 2952 3408 3832 4311 5112 5748 5822 5904 7664 8622 8733 10224 11496 11644 17244 17466 19639 22992 23288 26199 34009 34488 34932 39278 46576 52398 58917 68018 68976 69864 78556 102027 104796 117834 136036 139728 157112 176751 204054 209592 235668 272072 306081 314224 353502 408108 419184 471336 544144 612162 707004 816216 942672 1224324 1394369 1414008 1632432 2448648 2788738 2828016 4183107 4897296 5577476 8366214 11154952 12549321 16732428 22309904 25098642 33464856 50197284 66929712 100394568 200789136