Search a number
-
+
194105010 = 235114313679
BaseRepresentation
bin10111001000111…
…00111010110010
3111112020120000110
423210130322302
5344142330020
631132202150
74544602551
oct1344347262
9445216013
10194105010
119a626a70
1255009356
13312a2048
141bac9d98
15120928e0
hexb91ceb2

194105010 has 64 divisors (see below), whose sum is σ = 520058880. Its totient is φ = 45958080.

The previous prime is 194104993. The next prime is 194105017. The reversal of 194105010 is 10501491.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (194105017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7351 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (8125920).

Almost surely, 2194105010 is an apocalyptic number.

194105010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 194105010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260029440).

194105010 is an abundant number, since it is smaller than the sum of its proper divisors (325953870).

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

194105010 is a wasteful number, since it uses less digits than its factorization.

194105010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 194105010 is about 13932.1574065182. The cubic root of 194105010 is about 579.0004683194. Note that the first 3 decimals are identical.

The spelling of 194105010 in words is "one hundred ninety-four million, one hundred five thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 13679 14190 27358 41037 68395 82074 136790 150469 205185 300938 410370 451407 588197 752345 902814 1176394 1504690 1764591 2257035 2940985 3529182 4514070 5881970 6470167 8822955 12940334 17645910 19410501 32350835 38821002 64701670 97052505 194105010