[go: up one dir, main page]

Search a number
-
+
200889080 = 23575313537
BaseRepresentation
bin10111111100101…
…01001011111000
3112000000020000022
423332111023320
5402411422310
631533430012
74656346310
oct1376251370
9460006008
10200889080
11a343aa37
125733b308
1332808ba2
141c974440
1512982a55
hexbf952f8

200889080 has 64 divisors (see below), whose sum is σ = 526357440. Its totient is φ = 67571712.

The previous prime is 200889049. The next prime is 200889089. The reversal of 200889080 is 80988002.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 200889080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200889089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8072 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (8224335).

Almost surely, 2200889080 is an apocalyptic number.

200889080 is a gapful number since it is divisible by the number (20) 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 200889080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263178720).

200889080 is an abundant number, since it is smaller than the sum of its proper divisors (325468360).

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

200889080 is a wasteful number, since it uses less digits than its factorization.

200889080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 200889080 is about 14173.5344921442. The cubic root of 200889080 is about 585.6688286299.

The spelling of 200889080 in words is "two hundred million, eight hundred eighty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 13537 14840 27074 54148 67685 94759 108296 135370 189518 270740 379036 473795 541480 717461 758072 947590 1434922 1895180 2869844 3587305 3790360 5022227 5739688 7174610 10044454 14349220 20088908 25111135 28698440 40177816 50222270 100444540 200889080