Search a number
-
+
200089780 = 225111795081
BaseRepresentation
bin10111110110100…
…10000010110100
3111221111121120121
423323102002310
5402210333110
631504341324
74646510062
oct1373220264
9457447517
10200089780
11a2a44460
1257014844
13325b9127
141c807032
1512875cda
hexbed20b4

200089780 has 48 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 72339200.

The previous prime is 200089759. The next prime is 200089781. The reversal of 200089780 is 87980002.

It is a happy number.

200089780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200089781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36840 + ... + 41920.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2200089780 is an apocalyptic number.

200089780 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 200089780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

200089780 is an abundant number, since it is smaller than the sum of its proper divisors (260949260).

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

200089780 is a wasteful number, since it uses less digits than its factorization.

200089780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 200089780 is about 14145.3094699268. The cubic root of 200089780 is about 584.8910406562.

It can be divided in two parts, 2000 and 89780, that multiplied together give a square (179560000 = 134002).

The spelling of 200089780 in words is "two hundred million, eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 5081 7876 9845 10162 19690 20324 25405 39380 50810 55891 101620 111782 223564 279455 558910 909499 1117820 1818998 3637996 4547495 9094990 10004489 18189980 20008978 40017956 50022445 100044890 200089780