Search a number
-
+
194814720 = 283451879
BaseRepresentation
bin10111001110010…
…10001100000000
3111120120121120000
423213022030000
5344333032340
631155320000
74553616642
oct1347121400
9446517500
10194814720
119aa71201
12552b0000
13314900a9
141bc32892
1512182d30
hexb9ca300

194814720 has 180 divisors, whose sum is σ = 697453680. Its totient is φ = 51922944.

The previous prime is 194814709. The next prime is 194814743. The reversal of 194814720 is 27418491.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102741 + ... + 104619.

Almost surely, 2194814720 is an apocalyptic number.

194814720 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 194814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348726840).

194814720 is an abundant number, since it is smaller than the sum of its proper divisors (502638960).

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

194814720 is an equidigital number, since it uses as much as digits as its factorization.

194814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 194814720 is about 13957.6043789756. The cubic root of 194814720 is about 579.7052803109.

The spelling of 194814720 in words is "one hundred ninety-four million, eight hundred fourteen thousand, seven hundred twenty".