Search a number
-
+
199400704 = 28611132
BaseRepresentation
bin10111110001010…
…01110100000000
3111220012121100021
423320221310000
5402021310304
631441503224
74640610106
oct1370516400
9456177307
10199400704
11a2613778
1256941b14
13324075a9
141c6a7c76
151278ba54
hexbe29d00

199400704 has 54 divisors (see below), whose sum is σ = 408159206. Its totient is φ = 97198080.

The previous prime is 199400699. The next prime is 199400737. The reversal of 199400704 is 407004991.

It can be written as a sum of positive squares in 3 ways, for example, as 56550400 + 142850304 = 7520^2 + 11952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199400704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1764552 + ... + 1764664.

Almost surely, 2199400704 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 199400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204079603).

199400704 is an abundant number, since it is smaller than the sum of its proper divisors (208758502).

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

199400704 is an frugal number, since it uses more digits than its factorization.

199400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 199400704 is about 14120.9314140392. The cubic root of 199400704 is about 584.2188458592.

The spelling of 199400704 in words is "one hundred ninety-nine million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 61 64 113 122 128 226 244 256 452 488 904 976 1808 1952 3616 3904 6893 7232 7808 12769 13786 14464 15616 25538 27572 28928 51076 55144 102152 110288 204304 220576 408608 441152 778909 817216 882304 1557818 1634432 1764608 3115636 3268864 6231272 12462544 24925088 49850176 99700352 199400704