Search a number
-
+
193092820 = 225192322093
BaseRepresentation
bin10111000001001…
…01110011010100
3111110100010112221
423200211303110
5343412432240
631054352124
74533155554
oct1340456324
9443303487
10193092820
1199aa5548
12547bb644
133100940b
141b905164
1511e42a4a
hexb825cd4

193092820 has 48 divisors (see below), whose sum is σ = 445415040. Its totient is φ = 69987456.

The previous prime is 193092799. The next prime is 193092829. The reversal of 193092820 is 28290391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193092829) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2307 + ... + 19786.

It is an arithmetic number, because the mean of its divisors is an integer number (9279480).

Almost surely, 2193092820 is an apocalyptic number.

193092820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193092820 is an abundant number, since it is smaller than the sum of its proper divisors (252322220).

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

193092820 is a wasteful number, since it uses less digits than its factorization.

193092820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22144 (or 22142 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 193092820 is about 13895.7842527869. The cubic root of 193092820 is about 577.9922852704.

The spelling of 193092820 in words is "one hundred ninety-three million, ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 8740 22093 44186 88372 110465 220930 419767 441860 508139 839534 1016278 1679068 2032556 2098835 2540695 4197670 5081390 8395340 9654641 10162780 19309282 38618564 48273205 96546410 193092820