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200004064 = 25132311193
BaseRepresentation
bin10111110101111…
…01000111100000
3111221100020222221
423322331013200
5402200112224
631502440424
74646002141
oct1372750740
9457306887
10200004064
11a2996017
1256b93114
1332589100
141c7c3ac8
151285a6e4
hexbebd1e0

200004064 has 72 divisors (see below), whose sum is σ = 440500032. Its totient is φ = 89256960.

The previous prime is 200004059. The next prime is 200004071. The reversal of 200004064 is 460400002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167052 + ... + 168244.

It is an arithmetic number, because the mean of its divisors is an integer number (6118056).

Almost surely, 2200004064 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 200004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220250016).

200004064 is an abundant number, since it is smaller than the sum of its proper divisors (240495968).

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

200004064 is a wasteful number, since it uses less digits than its factorization.

200004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 200004064 is about 14142.2793070990. The cubic root of 200004064 is about 584.8075086851.

Adding to 200004064 its reverse (460400002), we get a palindrome (660404066).

The spelling of 200004064 in words is "two hundred million, four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 676 806 992 1193 1352 1612 2386 2704 3224 4772 5239 5408 6448 9544 10478 12896 15509 19088 20956 31018 36983 38176 41912 62036 73966 83824 124072 147932 167648 201617 248144 295864 403234 480779 496288 591728 806468 961558 1183456 1612936 1923116 3225872 3846232 6250127 6451744 7692464 12500254 15384928 25000508 50001016 100002032 200004064