Search a number
-
+
196366128 = 2437311927
BaseRepresentation
bin10111011010001…
…00111100110000
3111200111102200120
423231010330300
5400232204003
631252450240
74603041000
oct1355047460
9450442616
10196366128
11a0930862
1255919980
13318b429a
141c118000
151238c853
hexbb44f30

196366128 has 80 divisors (see below), whose sum is σ = 591628800. Its totient is φ = 56099904.

The previous prime is 196366127. The next prime is 196366139. The reversal of 196366128 is 821663691.

196366128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 196366128.

It is not an unprimeable number, because it can be changed into a prime (196366127) 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, 10501 + ... + 22427.

It is an arithmetic number, because the mean of its divisors is an integer number (7395360).

Almost surely, 2196366128 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 196366128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295814400).

196366128 is an abundant number, since it is smaller than the sum of its proper divisors (395262672).

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

196366128 is a wasteful number, since it uses less digits than its factorization.

196366128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11939 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 196366128 is about 14013.0698992048. The cubic root of 196366128 is about 581.2400421002.

The spelling of 196366128 in words is "one hundred ninety-six million, three hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 11927 16464 23854 35781 47708 71562 83489 95416 143124 166978 190832 250467 286248 333956 500934 572496 584423 667912 1001868 1168846 1335824 1753269 2003736 2337692 3506538 4007472 4090961 4675384 7013076 8181922 9350768 12272883 14026152 16363844 24545766 28052304 32727688 49091532 65455376 98183064 196366128