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196394064 = 243172291051
BaseRepresentation
bin10111011010010…
…11110001010000
3111200112212000020
423231023301100
5400234102224
631253223440
74603215306
oct1355136120
9450485006
10196394064
11a094a849
1255931b80
13318c3c09
141c124276
1512395c79
hexbb4bc50

196394064 has 80 divisors (see below), whose sum is σ = 540054720. Its totient is φ = 61286400.

The previous prime is 196394063. The next prime is 196394101. The reversal of 196394064 is 460493691.

196394064 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 (196394063) 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, 186339 + ... + 187389.

It is an arithmetic number, because the mean of its divisors is an integer number (6750684).

Almost surely, 2196394064 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 196394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270027360).

196394064 is an abundant number, since it is smaller than the sum of its proper divisors (343660656).

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

196394064 is a wasteful number, since it uses less digits than its factorization.

196394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 196394064 is about 14014.0666474796. The cubic root of 196394064 is about 581.2676041379.

The spelling of 196394064 in words is "one hundred ninety-six million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 229 272 408 458 687 816 916 1051 1374 1832 2102 2748 3153 3664 3893 4204 5496 6306 7786 8408 10992 11679 12612 15572 16816 17867 23358 25224 31144 35734 46716 50448 53601 62288 71468 93432 107202 142936 186864 214404 240679 285872 428808 481358 722037 857616 962716 1444074 1925432 2888148 3850864 4091543 5776296 8183086 11552592 12274629 16366172 24549258 32732344 49098516 65464688 98197032 196394064