Search a number
-
+
19829400 = 2335233049
BaseRepresentation
bin100101110100…
…1001010011000
31101022102211020
41023221022120
520034020100
61545002440
7330355443
oct113511230
941272736
1019829400
1110214138
126783420
134153896
1428c265a
151b1a5a0
hex12e9298

19829400 has 48 divisors (see below), whose sum is σ = 61473000. Its totient is φ = 5287680.

The previous prime is 19829393. The next prime is 19829401. The reversal of 19829400 is 492891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19829401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15925 + ... + 17124.

Almost surely, 219829400 is an apocalyptic number.

19829400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19829400 is an abundant number, since it is smaller than the sum of its proper divisors (41643600).

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

19829400 is a wasteful number, since it uses less digits than its factorization.

19829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33068 (or 33059 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 19829400 is about 4453.0214461644. The cubic root of 19829400 is about 270.6677573086.

The spelling of 19829400 in words is "nineteen million, eight hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 33049 66098 99147 132196 165245 198294 264392 330490 396588 495735 660980 793176 826225 991470 1321960 1652450 1982940 2478675 3304900 3965880 4957350 6609800 9914700 19829400