Search a number
-
+
196414160 = 24513717921
BaseRepresentation
bin10111011010100…
…00101011010000
3111200120212120112
423231100223100
5400240223120
631253500452
74603331015
oct1355205320
9450525515
10196414160
11a0963958
1255941728
13319000c7
141c12b70c
151239bbc5
hexbb50ad0

196414160 has 40 divisors (see below), whose sum is σ = 460021896. Its totient is φ = 77987840.

The previous prime is 196414147. The next prime is 196414177. The reversal of 196414160 is 61414691.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 196224064 = 436^2 + 14008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000 + ... + 19920.

Almost surely, 2196414160 is an apocalyptic number.

196414160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230010948).

196414160 is an abundant number, since it is smaller than the sum of its proper divisors (263607736).

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

196414160 is a wasteful number, since it uses less digits than its factorization.

196414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18071 (or 18065 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 196414160 is about 14014.7836230175. The cubic root of 196414160 is about 581.2874295086.

The spelling of 196414160 in words is "one hundred ninety-six million, four hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 17921 35842 71684 89605 143368 179210 286736 358420 716840 1433680 2455177 4910354 9820708 12275885 19641416 24551770 39282832 49103540 98207080 196414160